#include<src/pcps.h>
#include<src/restricted_pairing_function.h>

///////////////////////////////////////////////////////////////////////////////////////////////////
/// \brief initializes map of correct values for N2 sto3g testing
///
///////////////////////////////////////////////////////////////////////////////////////////////////
template<class S> void pcps::RestPairingFunc<S>::init_correct_map() {

  _cmap.clear();

//   //       alpha then beta
//   _cmap["00011111111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00011111111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00011111111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00011111111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00011111111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00011111111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00011111111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00011111111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00011111111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00011111111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00011111111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00011111111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00011111111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00011111111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00011111111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00011111111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00011111110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00011111110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00011111110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00011111110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00011111111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00011111111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00011111111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00011111111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00101111111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00101111111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00101111111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00101111111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00101111111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00101111111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00101111111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00101111111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00101111111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00101111111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00101111111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00101111111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00101111111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00101111111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00101111111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00101111111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00101111110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00101111110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00101111110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00101111110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00101111111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00101111111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00101111111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00101111111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00111110111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111110111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111110111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111110111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111110111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111110111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111110111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111110111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111110111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00111110111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00111110111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00111110111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00111110111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00111110111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00111110111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00111110111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00111110110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00111110110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00111110110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00111110110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00111110111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00111110111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00111110111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00111110111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00111111011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111111011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111111011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111111011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111111011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111111011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111111011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111111011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["00111111011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00111111011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00111111011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00111111011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["00111111011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00111111011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00111111011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00111111011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["00111111010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00111111010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00111111010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00111111010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["00111111011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00111111011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00111111011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["00111111011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111111111111000"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01001111111101111100"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01001111111110111010"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01001111111100111110"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01001111111111011001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01001111111101011101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01001111111110011011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01001111111100011111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01001111111111110001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01001111111011111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01001111111101110101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01001111111001111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01001111111110110011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01001111111010111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01001111111100110111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01001111111000111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01001111110111111001"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01001111110101111101"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01001111110110111011"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01001111110100111111"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01001111111111101001"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01001111111101101101"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01001111111110101011"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01001111111100101111"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01001111111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01001111111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01001111111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01001111111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01001111111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01001111111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01001111111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01001111111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01001111111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01001111111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01001111111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01001111111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01001111111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01001111111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01001111111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01001111111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01001111111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01001111111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01001111111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01001111111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01001111111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01001111110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01001111110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01001111110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01001111110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01001111110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01001111110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01001111110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01001111110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01001111111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01001111111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01001111111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01001111111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01001111111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01001111111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01001111111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01001111111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01001111110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01001111110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01001111110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01001111110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01001111110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01001111110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01001111110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01001111110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01001111111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01001111110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01001111110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01001111110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01001111110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01001111110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01001111110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01001111111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01001111111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01010111111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01010111111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01010111111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01010111111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01010111111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01010111111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01010111111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01010111111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01010111111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01010111111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01010111111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01010111111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01010111111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01010111111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01010111111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01010111111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01010111110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01010111110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01010111110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01010111110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01010111111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01010111111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01010111111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01010111111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011011111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011011111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011011111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011011111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011011111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011011111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011011111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011011111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011011111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011011111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011011111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011011111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011011111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011011111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011011111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011011111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011011111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011011110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011011111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011011110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011011111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011011110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011011111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011011110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011101111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01011101111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01011101111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01011101111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01011101111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01011101111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01011101111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01011101111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01011101111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01011101111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01011101111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01011101111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01011101111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01011101111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01011101111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01011101111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01011101110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011101110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011101110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011101110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011101111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011101111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011101111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011101111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011110111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011110111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011110111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011110111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011110111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011110111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011110111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011110111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011110111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011110111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011110111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011110111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011110111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011110111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011110111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011110111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011110110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01011110110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01011110110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01011110110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01011110111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01011110111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01011110111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01011110111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01011111011111111000"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01011111011101111100"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01011111011110111010"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01011111011100111110"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01011111011111011001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01011111011101011101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01011111011110011011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01011111011100011111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01011111011111110001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01011111011011111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01011111011101110101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01011111011001111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01011111011110110011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01011111011010111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01011111011100110111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01011111011000111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01011111010111111001"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01011111010101111101"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01011111010110111011"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01011111010100111111"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01011111011111101001"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01011111011101101101"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01011111011110101011"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01011111011100101111"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01011111011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01011111011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01011111011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01011111011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01011111011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011111011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011111011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011111011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011111011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011111011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011111011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011111011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01011111011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01011111011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011111011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011111011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011111011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011111011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011111011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011111011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011111011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01011111010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011111010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011111010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011111010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011111010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011111010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011111010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011111010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01011111011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011111011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011111011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011111011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011111011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011111011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011111011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011111011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01011111010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01011111010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01011111010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011111010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011111010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011111010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01011111011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01011111011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01011111101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01011111101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01011111101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01011111101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01011111101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01011111101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01011111101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01011111101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01011111101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01011111101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01011111101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01011111101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01011111101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01011111101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01011111101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01011111101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01011111100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01011111101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01011111101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01100111111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01100111111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01100111111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01100111111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01100111111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01100111111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01100111111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01100111111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01100111111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01100111111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01100111111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01100111111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01100111111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01100111111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01100111111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01100111111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01100111110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01100111110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01100111110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01100111110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01100111111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01100111111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01100111111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01100111111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101011111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101011111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101011111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101011111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101011111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101011111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101011111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101011111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101011111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101011111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101011111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101011111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101011111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101011111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101011111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101011111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101011111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101011110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101011111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101011110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101011111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101011110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101011111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101011110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101101111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01101101111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01101101111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01101101111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01101101111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01101101111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01101101111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01101101111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01101101111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01101101111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01101101111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01101101111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01101101111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01101101111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01101101111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01101101111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01101101110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101101110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101101110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101101110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101101111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101101111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101101111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101101111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110111111111000"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01101110111101111100"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01101110111110111010"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01101110111100111110"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01101110111111011001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01101110111101011101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01101110111110011011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01101110111100011111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01101110111111110001"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01101110111011111001"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01101110111101110101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01101110111001111101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01101110111110110011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01101110111010111011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01101110111100110111"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01101110111000111111"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01101110110111111001"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01101110110101111101"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01101110110110111011"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01101110110100111111"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01101110111111101001"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01101110111101101101"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01101110111110101011"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01101110111100101111"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01101110111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01101110111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01101110111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01101110111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01101110111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101110111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101110111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101110111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101110111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101110111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101110111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101110111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101110111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01101110111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101110111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101110111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101110111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101110111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101110111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101110111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101110111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101110110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101110110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101110110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101110110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101110110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101110110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101110110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101110110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101110111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101110111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101110111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101110111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101110111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101110111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101110111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101110111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101110110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101110110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101110110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101110110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101110110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101110110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101110110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101110110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01101110111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01101110110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01101110110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01101110110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101110110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101110110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101110110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01101110111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01101110111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01101111011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101111011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101111011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101111011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101111011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101111011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101111011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101111011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01101111011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101111011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101111011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101111011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101111011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101111011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101111011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101111011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01101111010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01101111010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01101111010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01101111010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01101111011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01101111011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01101111011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01101111011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01101111101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01101111101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01101111101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01101111101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01101111101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01101111101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01101111101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01101111101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01101111101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01101111101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01101111101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01101111101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01101111101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01101111101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01101111101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01101111101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01101111100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101111100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101111100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101111100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01101111101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101111101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101111101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01101111101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01110110111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01110110111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01110110111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01110110111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01110110111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01110110111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01110110111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01110110111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01110110111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110110111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110110111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110110111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110110111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110110111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110110111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110110111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110110110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01110110110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01110110110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01110110110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01110110111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01110110111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01110110111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01110110111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01110111011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01110111011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01110111011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01110111011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01110111011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01110111011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01110111011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01110111011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01110111011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110111011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110111011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110111011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110111011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110111011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110111011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110111011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01110111010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01110111010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01110111010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01110111010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01110111011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01110111011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01110111011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01110111011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111010111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111010111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111010111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111010111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111010111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111010111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111010111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111010111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111010111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111010111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111010111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111010111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111010111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111010111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111010111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111010111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111010111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111010110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111010111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111010110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111010111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111010110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111010111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111010110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111011011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111011011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111011011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111011011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111011011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111011011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111011011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111011011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111011011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111011011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111011011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111011011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111011011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111011011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111011011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111011011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111011011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111011010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111011011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111011010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111011011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111011010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111011011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111011010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111100111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111100111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111100111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111100111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111100111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111100111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111100111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111100111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111100111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01111100111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01111100111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01111100111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01111100111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01111100111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01111100111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01111100111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01111100110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111100110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111100110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111100110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111100111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111100111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111100111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111100111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111101011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111101011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111101011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111101011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111101011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111101011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111101011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111101011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["01111101011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01111101011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01111101011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01111101011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["01111101011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01111101011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01111101011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01111101011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["01111101010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111101010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111101010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111101010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111101011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111101011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111101011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111101011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110011111111000"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01111110011101111100"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01111110011110111010"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01111110011100111110"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01111110011111011001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01111110011101011101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01111110011110011011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01111110011100011111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["01111110011111110001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01111110011011111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01111110011101110101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01111110011001111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01111110011110110011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01111110011010111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01111110011100110111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01111110011000111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["01111110010111111001"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01111110010101111101"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01111110010110111011"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01111110010100111111"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["01111110011111101001"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01111110011101101101"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01111110011110101011"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01111110011100101111"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["01111110011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01111110011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01111110011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01111110011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["01111110011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111110011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111110011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111110011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111110011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111110011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111110011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111110011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["01111110011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["01111110011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111110011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111110011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111110011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111110011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111110011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111110011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111110011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["01111110010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111110010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111110010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111110010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111110010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111110010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111110010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111110010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["01111110011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["01111110010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01111110010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["01111110010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111110010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111110010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111110010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["01111110011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01111110011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["01111110101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01111110101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01111110101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01111110101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01111110101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01111110101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01111110101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01111110101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01111110101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111110101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111110101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111110101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111110101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111110101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111110101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111110101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111110100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111110101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111110101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111111001111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01111111001101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01111111001110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01111111001100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["01111111001111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01111111001101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01111111001110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01111111001100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["01111111001111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111111001011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111111001101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111111001001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111111001110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111111001010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111111001100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111111001000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["01111111000111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111111000101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111111000110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111111000100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["01111111001111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111111001101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111111001110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["01111111001100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["10001111111111111000"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10001111111101111100"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10001111111110111010"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10001111111100111110"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10001111111111011001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10001111111101011101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10001111111110011011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10001111111100011111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10001111111011111001"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10001111111001111101"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10001111111010111011"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10001111111000111111"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10001111111111110001"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10001111111101110101"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10001111111110110011"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10001111111100110111"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10001111111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10001111111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10001111111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10001111111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10001111111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10001111111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10001111111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10001111111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10001111111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10001111111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10001111111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10001111111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10001111111111101001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10001111110111111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10001111111101101101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10001111110101111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10001111111110101011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10001111110110111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10001111111100101111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10001111110100111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10001111111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10001111111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10001111111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10001111111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10001111111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10001111111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10001111111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10001111111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10001111111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10001111111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10001111111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10001111111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10001111111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10001111111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10001111111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10001111111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10001111111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10001111111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10001111111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10001111111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10001111111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10001111111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10001111111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10001111111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10001111111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10001111111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10001111110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10001111111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10001111110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10001111111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10001111111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10001111110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10001111110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10001111111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10001111110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10001111111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10001111110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10001111111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10001111111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10001111110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10001111110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10001111111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10001111110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10001111110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10001111111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10001111110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10001111110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10001111110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10001111110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10010111111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10010111111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10010111111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10010111111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10010111111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10010111111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10010111111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10010111111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10010111111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10010111111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10010111111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10010111111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10010111111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10010111111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10010111111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10010111111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10010111111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10010111110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10010111111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10010111110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10010111111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10010111110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10010111111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10010111110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10011011111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10011011111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10011011111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10011011111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10011011111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10011011111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10011011111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10011011111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10011011111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011011111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011011111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011011111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011011111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011011111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011011111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011011111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011011111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10011011111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10011011111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10011011111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10011011110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10011011110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10011011110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10011011110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10011101111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011101111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011101111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011101111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011101111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011101111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011101111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011101111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011101111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011101111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011101111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011101111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011101111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011101111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011101111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011101111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011101111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011101110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011101111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011101110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011101111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011101110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011101111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011101110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011110111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011110111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011110111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011110111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011110111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011110111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011110111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011110111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011110111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10011110111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10011110111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10011110111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10011110111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10011110111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10011110111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10011110111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10011110111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011110110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011110111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011110110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011110111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011110110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011110111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011110110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111011111111000"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10011111011101111100"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10011111011110111010"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10011111011100111110"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10011111011111011001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10011111011101011101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10011111011110011011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10011111011100011111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10011111011011111001"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10011111011001111101"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10011111011010111011"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10011111011000111111"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10011111011111110001"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10011111011101110101"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10011111011110110011"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10011111011100110111"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10011111011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10011111011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10011111011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10011111011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10011111011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011111011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011111011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011111011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011111011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011111011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011111011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011111011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10011111011111101001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10011111010111111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10011111011101101101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10011111010101111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10011111011110101011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10011111010110111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10011111011100101111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10011111010100111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10011111011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10011111011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10011111011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011111011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011111011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011111011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10011111011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10011111011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10011111011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10011111011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011111010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011111011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011111010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011111011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011111011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011111010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011111010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10011111011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011111010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011111011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011111010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011111011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011111011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011111010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011111010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10011111011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10011111101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10011111101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10011111101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10011111101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10011111101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10011111101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10011111101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10011111101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10011111101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10011111101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10011111101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10011111100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10011111101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10011111100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10011111101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10011111100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10011111101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10011111100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10100111111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10100111111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10100111111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10100111111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10100111111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10100111111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10100111111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10100111111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10100111111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10100111111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10100111111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10100111111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10100111111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10100111111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10100111111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10100111111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10100111111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10100111110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10100111111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10100111110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10100111111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10100111110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10100111111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10100111110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10101011111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10101011111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10101011111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10101011111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10101011111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10101011111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10101011111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10101011111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10101011111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101011111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101011111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101011111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101011111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101011111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101011111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101011111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101011111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10101011111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10101011111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10101011111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10101011110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10101011110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10101011110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10101011110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10101101111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101101111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101101111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101101111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101101111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101101111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101101111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101101111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101101111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101101111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101101111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101101111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101101111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101101111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101101111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101101111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101101111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101101110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101101111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101101110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101101111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101101110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101101111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101101110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101110111111111000"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10101110111101111100"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10101110111110111010"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10101110111100111110"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10101110111111011001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10101110111101011101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10101110111110011011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10101110111100011111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10101110111011111001"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10101110111001111101"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10101110111010111011"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10101110111000111111"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10101110111111110001"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10101110111101110101"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10101110111110110011"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10101110111100110111"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10101110111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10101110111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10101110111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10101110111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10101110111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101110111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101110111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101110111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101110111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101110111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101110111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101110111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101110111111101001"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10101110110111111001"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10101110111101101101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10101110110101111101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10101110111110101011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10101110110110111011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10101110111100101111"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10101110110100111111"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10101110111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101110111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101110111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101110111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101110111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101110111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101110111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101110111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101110111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101110111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101110111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101110111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101110111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101110111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101110111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101110111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101110111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10101110111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10101110111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101110111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101110111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101110111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10101110111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10101110111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10101110111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10101110111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101110110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101110111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101110110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101110111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101110111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101110110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101110110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10101110111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101110110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101110111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101110110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101110111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101110111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101110110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101110110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10101110111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101110110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101110110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101110111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101110110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101110110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101110110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101110110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101111011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101111011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101111011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101111011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101111011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101111011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101111011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10101111011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10101111011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10101111011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10101111011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10101111011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10101111011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10101111011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10101111011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10101111011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10101111101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10101111101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10101111101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10101111101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10101111101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10101111101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10101111101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10101111101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10101111101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101111101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101111101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101111101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10101111101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101111101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101111101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101111101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10101111101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10101111100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10101111101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10101111100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10101111101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10101111100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10101111101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10101111100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110110111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10110110111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10110110111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10110110111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10110110111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10110110111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10110110111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10110110111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10110110111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10110110111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10110110111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10110110111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10110110111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10110110111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10110110111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10110110111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10110110111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110110110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110110111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110110110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110110111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110110110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110110111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110110110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110111011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10110111011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10110111011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10110111011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10110111011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10110111011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10110111011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10110111011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10110111011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10110111011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10110111011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10110111011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10110111011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10110111011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10110111011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10110111011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10110111011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110111010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110111011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110111010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110111011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110111010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110111011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10110111010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111010111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111010111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111010111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111010111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111010111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111010111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111010111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111010111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111010111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111010111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111010111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111010111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111010111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111010111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111010111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111010111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111010111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10111010111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10111010111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10111010111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10111010110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10111010110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10111010110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10111010110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10111011011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111011011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111011011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111011011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111011011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111011011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111011011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111011011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["10111011011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111011011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111011011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111011011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111011011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111011011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111011011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111011011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111011011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10111011011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10111011011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10111011011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["10111011010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10111011010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10111011010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10111011010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["10111100111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111100111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111100111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111100111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111100111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111100111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111100111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111100111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111100111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111100111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111100111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111100111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111100111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111100111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111100111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111100111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111100111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111100110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111100111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111100110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111100111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111100110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111100111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111100110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111101011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111101011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111101011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111101011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111101011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111101011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111101011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111101011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111101011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111101011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111101011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111101011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111101011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111101011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111101011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111101011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111101011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111101010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111101011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111101010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111101011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111101010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111101011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111101010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110011111111000"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10111110011101111100"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10111110011110111010"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10111110011100111110"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10111110011111011001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10111110011101011101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10111110011110011011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10111110011100011111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["10111110011011111001"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10111110011001111101"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10111110011010111011"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10111110011000111111"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["10111110011111110001"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10111110011101110101"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10111110011110110011"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10111110011100110111"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["10111110011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10111110011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10111110011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10111110011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["10111110011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111110011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111110011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111110011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111110011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111110011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111110011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111110011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["10111110011111101001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10111110010111111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10111110011101101101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10111110010101111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10111110011110101011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10111110010110111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10111110011100101111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10111110010100111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["10111110011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10111110011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["10111110011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111110011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111110011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111110011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["10111110011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10111110011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["10111110011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["10111110011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111110010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111110011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111110010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111110011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111110011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111110010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111110010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["10111110011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111110010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111110011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111110010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111110011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111110011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111110010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111110010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["10111110011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["10111110101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10111110101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10111110101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10111110101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10111110101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10111110101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10111110101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10111110101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10111110101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111110101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111110101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111110100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111110101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111110100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111110101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111110100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111110101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111110100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111111001111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10111111001101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10111111001110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10111111001100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["10111111001111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10111111001101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10111111001110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10111111001100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["10111111001011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111111001001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111111001010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111111001000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["10111111001111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111111001101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111111001110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111111001100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["10111111001111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111111000111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111111001101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111111000101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111111001110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111111000110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111111001100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["10111111000100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11000111111111011001"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11000111111101011101"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11000111111110011011"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11000111111100011111"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11000111111111111000"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11000111111101111100"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11000111111110111010"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11000111111100111110"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11000111111111110001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11000111111011111001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11000111111101110101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11000111111001111101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11000111111110110011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11000111111010111011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11000111111100110111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11000111111000111111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11000111111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11000111111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11000111111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11000111111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11000111111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11000111111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11000111111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11000111111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11000111111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11000111111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11000111111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11000111111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11000111111111101001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11000111110111111001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11000111111101101101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11000111110101111101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11000111111110101011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11000111110110111011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11000111111100101111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11000111110100111111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11000111111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11000111111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11000111111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11000111111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11000111111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11000111111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11000111111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11000111111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11000111111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11000111111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11000111111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11000111111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11000111111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11000111111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11000111111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11000111111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11000111111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11000111111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11000111111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11000111111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11000111111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11000111111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11000111111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11000111111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11000111111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11000111110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11000111111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11000111110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11000111111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11000111111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11000111110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11000111110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11000111111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11000111110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11000111111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11000111110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11000111111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11000111111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11000111110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11000111110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11000111111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11000111111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11000111110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11000111110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11000111111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11000111110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11000111110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11000111110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11000111110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111111111000"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001011111101111100"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001011111110111010"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001011111100111110"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001011111111011001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001011111101011101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001011111110011011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001011111100011111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001011111111110001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001011111011111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001011111101110101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001011111001111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001011111110110011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001011111010111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001011111100110111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001011111000111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001011111111101001"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11001011111101101101"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11001011111110101011"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11001011111100101111"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11001011110111111001"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11001011110101111101"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11001011110110111011"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11001011110100111111"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11001011111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001011111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001011111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001011111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001011111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001011111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11001011111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001011111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001011111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001011111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001011111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001011111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001011111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001011111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001011111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11001011111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11001011111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11001011111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11001011111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11001011111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11001011111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11001011111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11001011110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11001011110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11001011110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11001011110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11001011110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11001011110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11001011110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11001011110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11001011111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11001011111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11001011111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11001011111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11001011111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11001011111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11001011111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11001011111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11001011110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11001011110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11001011110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11001011110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11001011110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11001011110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11001011110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11001011110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11001011111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11001011111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11001011110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11001011110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11001011110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11001011110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11001011110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11001011110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11001101111111111000"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001101111101111100"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001101111110111010"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001101111100111110"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001101111111011001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001101111101011101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001101111110011011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001101111100011111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001101111111110001"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11001101111101110101"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11001101111110110011"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11001101111100110111"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11001101111011111001"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11001101111001111101"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11001101111010111011"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11001101111000111111"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11001101111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001101111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001101111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001101111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001101111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001101111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001101111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001101111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001101111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001101111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001101111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001101111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001101111111101001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001101110111111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001101111101101101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001101110101111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001101111110101011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001101110110111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001101111100101111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001101110100111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11001101111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11001101111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11001101111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11001101111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11001101111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11001101111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11001101111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11001101111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11001101111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11001101111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11001101111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11001101111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11001101111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11001101111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11001101111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11001101111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11001101111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11001101111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11001101111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11001101111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11001101111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11001101111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11001101111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11001101111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11001101111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11001101111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11001101110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11001101111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11001101110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11001101111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11001101111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11001101110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11001101110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11001101111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11001101110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11001101111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11001101110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11001101111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11001101111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11001101110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11001101110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11001101111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001101110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001101110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001101111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001101110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001101110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001101110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001101110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11001110111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001110111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001110111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001110111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001110111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001110111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001110111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001110111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001110111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001110111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001110111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001110111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001110111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001110111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001110111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001110111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001110111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001110110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001110111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001110110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001110111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001110110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001110111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001110110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001110111101111001"] = std::pair<double, double>(      -0.0000004149870000 ,                            0.0000000000000536  );
//   _cmap["11001110111100111011"] = std::pair<double, double>(       0.0000004149870000 ,                            0.0000000000000536  );
//   _cmap["11001110111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000000000179  );
//   _cmap["11001110111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000000000179  );
//   _cmap["11001111011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001111011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001111011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001111011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001111011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001111011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001111011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001111011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11001111011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001111010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001111011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001111010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001111011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001111010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001111011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001111010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11001111011110111001"] = std::pair<double, double>(      -0.0000004149870000 ,                            0.0000000000000536  );
//   _cmap["11001111011100111101"] = std::pair<double, double>(       0.0000004149870000 ,                            0.0000000000000536  );
//   _cmap["11001111011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000000000179  );
//   _cmap["11001111011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000000000179  );
//   _cmap["11001111101111111000"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11001111101101111100"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11001111101110111010"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11001111101100111110"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11001111101111011001"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11001111101101011101"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11001111101110011011"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11001111101100011111"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11001111101111110001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001111101011111001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001111101101110101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001111101001111101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001111101110110011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001111101010111011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001111101100110111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001111101000111111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11001111101110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111101101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111101100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111101100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11001111101110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11001111101101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11001111101111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11001111101111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11001111101110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11001111101101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11001111101110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11001111101101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11001111101111101001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001111100111111001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001111101101101101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001111100101111101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001111101110101011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001111100110111011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001111101100101111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001111100100111111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11001111101111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11001111101011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11001111101111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11001111101011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11001111101110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11001111101101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11001111101010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11001111101001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11001111101111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11001111101011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11001111101111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11001111101011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11001111101110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11001111101101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11001111101010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11001111101001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11001111101110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001111101011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001111101010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001111101101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001111101011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001111101001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001111101010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001111101001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11001111101111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11001111100111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11001111101111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11001111100111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11001111101110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11001111101101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11001111100110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11001111100101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11001111101111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11001111100111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11001111101111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11001111100111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11001111101110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11001111101101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11001111100110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11001111100101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11001111101111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111100111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111101011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111100011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111101111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111100111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111101011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111100011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111101110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111101101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111100110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111100101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111101010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111101001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111100010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111100001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11001111101110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001111100111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001111100110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001111101101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001111100111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001111100101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001111100110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11001111100101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010011111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010011111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010011111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010011111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010011111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010011111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010011111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010011111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010011111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11010011111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11010011111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11010011111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11010011111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11010011111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11010011111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11010011111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11010011111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11010011111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11010011111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11010011111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11010011110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11010011110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11010011110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11010011110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11010101111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010101111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010101111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010101111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010101111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010101111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010101111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010101111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010101111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11010101111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11010101111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11010101111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11010101111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11010101111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11010101111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11010101111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11010101111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11010101110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11010101111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11010101110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11010101111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11010101110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11010101111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11010101110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11010110111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11010110111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11010110111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11010110111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11010110111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11010110111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11010110111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11010110111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11010110111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010110111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010110111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010110111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010110111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010110111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010110111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010110111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010110111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010110110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010110111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010110110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010110111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010110110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010110111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010110110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111011111011001"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11010111011101011101"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11010111011110011011"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11010111011100011111"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11010111011111111000"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11010111011101111100"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11010111011110111010"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11010111011100111110"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11010111011111110001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11010111011011111001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11010111011101110101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11010111011001111101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11010111011110110011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11010111011010111011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11010111011100110111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11010111011000111111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11010111011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11010111011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11010111011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11010111011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11010111011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11010111011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11010111011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11010111011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11010111011111101001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11010111010111111001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11010111011101101101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11010111010101111101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11010111011110101011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11010111010110111011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11010111011100101111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11010111010100111111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11010111011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010111011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010111011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010111011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010111011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010111011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010111011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010111011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11010111011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010111011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010111011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010111011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010111011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010111011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010111011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010111011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11010111011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010111010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010111011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010111010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010111011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010111011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010111010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010111010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11010111011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010111010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010111011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010111010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010111011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010111011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010111010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010111010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11010111011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11010111011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11010111101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11010111101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11010111100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011001111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011001111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011001111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011001111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011001111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011001111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011001111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011001111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011001111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011001111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011001111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011001111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011001111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011001111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011001111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011001111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011001111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011001111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011001111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011001111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011001110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011001110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011001110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011001110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011010111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011010111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011010111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011010111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011010111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011010111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011010111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011010111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011010111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011010111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011010111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011010111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011010111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011010111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011010111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011010111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011010111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11011010111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11011010111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11011010111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11011010110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11011010110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11011010110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11011010110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11011011011111111000"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011011011101111100"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011011011110111010"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011011011100111110"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011011011111011001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011011011101011101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011011011110011011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011011011100011111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011011011111110001"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011011011011111001"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011011011101110101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011011011001111101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011011011110110011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011011011010111011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011011011100110111"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011011011000111111"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011011011111101001"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11011011011101101101"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11011011011110101011"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11011011011100101111"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11011011010111111001"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11011011010101111101"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11011011010110111011"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11011011010100111111"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11011011011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011011011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011011011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011011011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011011011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011011011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011011011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011011011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011011011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011011011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011011011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011011011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011011011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011011011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011011011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011011011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011011011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011011011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011011011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011011011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011011011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011011011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011011011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011011011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011011011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011011011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011011011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011011011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011011011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11011011010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011011010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011011010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011011010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011011010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011011010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011011010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011011010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11011011011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11011011011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11011011010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11011011010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11011011010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11011011010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11011011010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11011011010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11011011101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011011101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011011101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011011101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011011101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011011101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011011101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011011101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011011101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011011101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011011101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011011101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011011101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011011101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011011101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011011101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011011101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11011011100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011011100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11011100111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011100111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011100111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011100111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011100111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011100111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011100111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011100111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011100111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11011100111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11011100111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11011100111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11011100111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11011100111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11011100111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11011100111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11011100111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011100110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011100111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011100110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011100111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011100110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011100111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011100110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101011111111000"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011101011101111100"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011101011110111010"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011101011100111110"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011101011111011001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011101011101011101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011101011110011011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011101011100011111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011101011111110001"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11011101011101110101"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11011101011110110011"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11011101011100110111"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11011101011011111001"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11011101011001111101"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11011101011010111011"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11011101011000111111"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11011101011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011101011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011101011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011101011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011101011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011101011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011101011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011101011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011101011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011101011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011101011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011101011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011101011111101001"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011101010111111001"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011101011101101101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011101010101111101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011101011110101011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011101010110111011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011101011100101111"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011101010100111111"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11011101011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11011101011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11011101011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11011101011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11011101011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11011101011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11011101011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11011101011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11011101011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11011101011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011101010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011101011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011101010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011101011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011101011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011101010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011101010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11011101011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011101010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011101011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011101010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011101011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011101011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011101010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011101010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11011101011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11011101101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011101101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011101101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011101101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011101101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011101101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011101101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011101101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011101101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11011101101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11011101101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011101100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011101101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011101100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011101101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011101100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011101101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011101100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11011110011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011110011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011110011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011110011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011110011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011110011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011110011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011110011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011110011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011110011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011110011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011110011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011110011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011110011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011110011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011110011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11011110011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011110010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011110011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011110010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011110011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011110010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011110011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011110010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11011110011101111001"] = std::pair<double, double>(       0.0000004149870000 ,                            0.0000000000000536  );
//   _cmap["11011110011100111011"] = std::pair<double, double>(      -0.0000004149870000 ,                            0.0000000000000536  );
//   _cmap["11011110011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000000000179  );
//   _cmap["11011110011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000000000179  );
//   _cmap["11011110101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11011110101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11011110101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11011110101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11011110101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11011110101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11011110101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11011110101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11011110101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011110101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011110101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011110101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011110101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011110101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011110101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011110101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011110101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011110100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011110101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011110100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011110101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011110100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011110101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011110100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011111001111111000"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11011111001101111100"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11011111001110111010"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11011111001100111110"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11011111001111011001"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11011111001101011101"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11011111001110011011"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11011111001100011111"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11011111001111110001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011111001011111001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011111001101110101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011111001001111101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011111001110110011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011111001010111011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011111001100110111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011111001000111111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11011111001110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011111001101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011111001100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011111001100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11011111001110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11011111001101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11011111001111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11011111001111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11011111001110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11011111001101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11011111001110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11011111001101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11011111001111101001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011111000111111001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011111001101101101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011111000101111101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011111001110101011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011111000110111011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011111001100101111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011111000100111111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11011111001111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011111001011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011111001111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011111001011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011111001110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011111001101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011111001010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011111001001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11011111001111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011111001011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011111001111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011111001011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011111001110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011111001101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011111001010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011111001001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11011111001110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011111001011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011111001010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011111001101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011111001011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011111001001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011111001010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011111001001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11011111001111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011111000111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011111001111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011111000111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011111001110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011111001101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011111000110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011111000101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11011111001111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011111000111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011111001111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011111000111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011111001110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011111001101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011111000110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011111000101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11011111001111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111000111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111001011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111000011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111001111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111000111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111001011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111000011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111001110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111001101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111000110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111000101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111001010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111001001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111000010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111000001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11011111001110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011111000111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011111000110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011111001101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011111000111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011111000101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011111000110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11011111000101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100011111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100011111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100011111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100011111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100011111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100011111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100011111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100011111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100011111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11100011111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11100011111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11100011111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11100011111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11100011111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11100011111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11100011111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11100011111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11100011111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11100011111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11100011111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11100011110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11100011110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11100011110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11100011110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11100101111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100101111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100101111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100101111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100101111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100101111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100101111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100101111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100101111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11100101111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11100101111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11100101111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11100101111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11100101111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11100101111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11100101111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11100101111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11100101110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11100101111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11100101110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11100101111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11100101110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11100101111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11100101110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11100110111111011001"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11100110111101011101"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11100110111110011011"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11100110111100011111"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11100110111111111000"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11100110111101111100"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11100110111110111010"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11100110111100111110"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11100110111111110001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11100110111011111001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11100110111101110101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11100110111001111101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11100110111110110011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11100110111010111011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11100110111100110111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11100110111000111111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11100110111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11100110111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11100110111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11100110111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11100110111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11100110111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11100110111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100110111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100110111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100110111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100110111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11100110111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11100110111111101001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11100110110111111001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11100110111101101101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11100110110101111101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11100110111110101011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11100110110110111011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11100110111100101111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11100110110100111111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11100110111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100110111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100110111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100110111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100110111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100110111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100110111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100110111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11100110111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100110111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100110111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100110111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100110111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100110111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100110111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100110111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11100110111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100110111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100110111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100110111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100110111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100110111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100110111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100110111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100110111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100110110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100110111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100110110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100110111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100110111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100110110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100110110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11100110111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100110110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100110111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100110110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100110111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100110111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100110110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100110110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11100110111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11100110111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100110110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100110110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100110111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100110110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100110110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100110110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100110110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11100111011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11100111011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11100111011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11100111011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11100111011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11100111011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11100111011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11100111011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100111101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100111101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100111101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100111101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100111101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100111101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100111101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11100111101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11100111101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11100111100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101001111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101001111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101001111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101001111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101001111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101001111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101001111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101001111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101001111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101001111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101001111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101001111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101001111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101001111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101001111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101001111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101001111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101001111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101001111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101001111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101001110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101001110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101001110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101001110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010111111111000"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101010111101111100"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101010111110111010"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101010111100111110"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101010111111011001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101010111101011101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101010111110011011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101010111100011111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101010111111110001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101010111011111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101010111101110101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101010111001111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101010111110110011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101010111010111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101010111100110111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101010111000111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101010111111101001"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11101010111101101101"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11101010111110101011"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11101010111100101111"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11101010110111111001"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11101010110101111101"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11101010110110111011"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11101010110100111111"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11101010111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101010111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101010111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101010111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101010111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101010111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101010111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101010111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101010111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101010111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101010111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101010111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101010111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101010111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101010111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101010111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101010111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101010111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101010111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101010111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101010111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101010111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101010111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101010111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101010111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101010111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101010111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101010111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101010111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101010110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101010110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101010110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101010110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101010110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101010110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101010110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101010110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101010111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101010111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101010111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101010111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101010111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101010111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101010111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101010111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11101010110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11101010111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11101010111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11101010110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11101010110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11101010110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11101010110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11101010110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11101010110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11101011011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101011011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101011011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101011011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101011011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101011011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101011011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101011011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101011011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101011011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101011011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101011011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101011011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101011011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101011011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101011011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101011011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11101011011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11101011011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11101011011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11101011010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11101011010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11101011010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11101011010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11101011101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101011101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101011101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101011101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101011101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101011101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101011101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101011101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101011101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101011101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101011101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101011101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101011101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101011101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101011101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101011101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101011101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101011101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101011101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101011101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11101011100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101011100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101011100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101011100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11101100111111111000"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101100111101111100"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101100111110111010"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101100111100111110"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101100111111011001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101100111101011101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101100111110011011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101100111100011111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101100111111110001"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11101100111101110101"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11101100111110110011"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11101100111100110111"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11101100111011111001"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11101100111001111101"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11101100111010111011"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11101100111000111111"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11101100111110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101100111101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101100111100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101100111100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101100111111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101100111110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101100111111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101100111101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101100111110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101100111101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101100111110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101100111101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101100111111101001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101100110111111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101100111101101101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101100110101111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101100111110101011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101100110110111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101100111100101111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101100110100111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11101100111111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101100111111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101100111110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101100111101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101100111111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101100111111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101100111110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101100111101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101100111011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101100111011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101100111010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101100111001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101100111011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101100111011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101100111010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101100111001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101100111110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11101100111101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11101100111011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11101100111011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11101100111010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11101100111001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11101100111010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11101100111001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11101100111111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100110111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100111111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100110111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100111110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100111101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100110110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100110101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100111111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100110111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100111111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100110111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100111110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100111101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100110110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100110101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11101100111111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101100110111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101100111111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101100110111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101100111110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101100111101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101100110110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101100110101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11101100111011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101100110011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101100111011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101100110011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101100111010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101100111001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101100110010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101100110001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11101100111110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101100110111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101100110110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101100111101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101100110111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101100110101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101100110110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101100110101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101101011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101101011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101101011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101101011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101101011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101101011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101101011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101101011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11101101011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11101101011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11101101011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11101101011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11101101011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11101101011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11101101011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11101101011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11101101101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101101101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101101101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101101101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101101101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101101101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101101101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101101101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101101101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101101101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101101101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101101101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11101101101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101101101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101101101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101101101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11101101101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101101100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101101101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101101100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101101101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101101100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101101101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101101100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11101110011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101110011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101110011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101110011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101110011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101110011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101110011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101110011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11101110011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101110010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101110011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101110010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101110011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101110010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101110011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101110010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11101110011110111001"] = std::pair<double, double>(       0.0000004149870000 ,                            0.0000000000000536  );
//   _cmap["11101110011100111101"] = std::pair<double, double>(      -0.0000004149870000 ,                            0.0000000000000536  );
//   _cmap["11101110011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000000000179  );
//   _cmap["11101110011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000000000179  );
//   _cmap["11101110101111111000"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11101110101101111100"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11101110101110111010"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11101110101100111110"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11101110101111011001"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11101110101101011101"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11101110101110011011"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11101110101100011111"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11101110101111110001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101110101011111001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101110101101110101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101110101001111101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101110101110110011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101110101010111011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101110101100110111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101110101000111111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11101110101110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110101101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110101100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110101100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11101110101110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11101110101101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11101110101111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11101110101111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11101110101110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11101110101101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11101110101110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11101110101101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11101110101111101001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101110100111111001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101110101101101101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101110100101111101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101110101110101011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101110100110111011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101110101100101111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101110100100111111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11101110101111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101110101011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101110101111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101110101011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101110101110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101110101101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101110101010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101110101001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11101110101111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101110101011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101110101111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101110101011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101110101110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101110101101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101110101010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101110101001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11101110101110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101110101011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101110101010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101110101101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101110101011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101110101001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101110101010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101110101001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101110101111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101110100111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101110101111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101110100111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101110101110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101110101101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101110100110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101110100101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11101110101111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101110100111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101110101111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101110100111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101110101110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101110101101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101110100110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101110100101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11101110101111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110100111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110101011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110100011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110101111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110100111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110101011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110100011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110101110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110101101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110100110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110100101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110101010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110101001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110100010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110100001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11101110101110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101110100111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101110100110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101110101101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101110100111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101110100101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101110100110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101110100101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101111001111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11101111001101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11101111001110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11101111001100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11101111001111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11101111001101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11101111001110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11101111001100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11101111001111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101111001011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101111001101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101111001001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101111001110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101111001010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101111001100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101111001000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11101111001111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101111000111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101111001101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101111000101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101111001110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101111000110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101111001100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11101111000100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110010111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110010111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110010111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110010111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110010111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110010111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110010111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110010111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110010111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110010111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110010111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110010111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110010111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110010111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110010111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110010111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110010111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11110010111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11110010111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11110010111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11110010110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11110010110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11110010110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11110010110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11110011011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110011011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110011011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110011011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110011011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110011011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110011011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110011011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110011011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110011011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110011011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110011011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110011011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110011011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110011011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110011011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11110011011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11110011011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11110011011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11110011011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11110011010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11110011010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11110011010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11110011010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11110100111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110100111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110100111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110100111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110100111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110100111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110100111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110100111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110100111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11110100111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11110100111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11110100111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11110100111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11110100111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11110100111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11110100111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11110100111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110100110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110100111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110100110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110100111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110100110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110100111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110100110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110101011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110101011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110101011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110101011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110101011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110101011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110101011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110101011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110101011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11110101011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11110101011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11110101011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11110101011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11110101011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11110101011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11110101011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11110101011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110101010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110101011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110101010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110101011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110101010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110101011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110101010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11110110011111011001"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11110110011101011101"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11110110011110011011"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11110110011100011111"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11110110011111111000"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11110110011101111100"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11110110011110111010"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11110110011100111110"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11110110011111110001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11110110011011111001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11110110011101110101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11110110011001111101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11110110011110110011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11110110011010111011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11110110011100110111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11110110011000111111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11110110011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11110110011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11110110011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11110110011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11110110011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11110110011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11110110011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11110110011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11110110011111101001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11110110010111111001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11110110011101101101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11110110010101111101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11110110011110101011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11110110010110111011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11110110011100101111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11110110010100111111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11110110011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110110011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110110011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110110011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110110011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110110011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110110011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110110011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11110110011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110110011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110110011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110110011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110110011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110110011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110110011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110110011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11110110011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110110010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110110011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110110010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110110011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110110011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110110010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110110010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11110110011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110110010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110110011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110110010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110110011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110110011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110110010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110110010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11110110011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11110110011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110110101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110110101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110110100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110111001111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110111001101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110111001110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110111001100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110111001111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110111001101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110111001110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110111001100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11110111001111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110111001011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110111001101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110111001001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110111001110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110111001010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110111001100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110111001000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11110111001111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110111000111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110111001101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110111000101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110111001110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110111000110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110111001100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11110111000100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111000111111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111000111101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111000111110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111000111100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111000111111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111000111101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111000111110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111000111100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111000111111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111000111101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111000111110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111000111100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111000111011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111000111001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111000111010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111000111000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111000111111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111000111101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111000111110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111000111100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111000110111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111000110101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111000110110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111000110100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111001011111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111001011101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111001011110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111001011100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111001011111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111001011101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111001011110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111001011100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111001011111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111001011101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111001011110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111001011100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111001011011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111001011001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111001011010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111001011000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111001011111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111001011101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111001011110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111001011100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111001010111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111001010101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111001010110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111001010100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010011111111000"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111010011101111100"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111010011110111010"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111010011100111110"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111010011111011001"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111010011101011101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111010011110011011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111010011100011111"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111010011111110001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111010011011111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111010011101110101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111010011001111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111010011110110011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111010011010111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111010011100110111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111010011000111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111010011111101001"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11111010011101101101"] = std::pair<double, double>(      -0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11111010011110101011"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11111010011100101111"] = std::pair<double, double>(       0.0003266742900000 ,                            0.0000029719192679  );
//   _cmap["11111010010111111001"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11111010010101111101"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11111010010110111011"] = std::pair<double, double>(      -0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11111010010100111111"] = std::pair<double, double>(       0.0003264667970000 ,                            0.0000029718805536  );
//   _cmap["11111010011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11111010011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11111010011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11111010011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000029414289643  );
//   _cmap["11111010011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111010011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111010011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111010011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111010011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111010011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111010011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111010011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111010011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111010011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111010011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111010011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111010011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111010011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111010011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111010011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111010011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111010011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111010011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111010011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111010011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111010011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111010011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111010011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111010011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267718571  );
//   _cmap["11111010010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000005267670179  );
//   _cmap["11111010011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11111010011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076225714  );
//   _cmap["11111010010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11111010010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11111010010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11111010010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076177321  );
//   _cmap["11111010010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11111010010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000000076128929  );
//   _cmap["11111010101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111010101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111010101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111010101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111010101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111010101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111010101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111010101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111010101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111010101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111010101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111010101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111010101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111010101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111010101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111010101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111010101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111010100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111010100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111011001111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111011001101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111011001110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111011001100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111011001111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111011001101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111011001110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111011001100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111011001111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111011001011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111011001101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111011001001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111011001110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111011001010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111011001100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111011001000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111011001111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111011001101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111011001110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111011001100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477563393  );
//   _cmap["11111011000111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111011000101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111011000110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111011000100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000009477515000  );
//   _cmap["11111100011111111000"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111100011101111100"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111100011110111010"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111100011100111110"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111100011111011001"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111100011101011101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111100011110011011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111100011100011111"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111100011111110001"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11111100011101110101"] = std::pair<double, double>(      -0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11111100011110110011"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11111100011100110111"] = std::pair<double, double>(       0.0448528418230000 ,                            0.0009789107171071  );
//   _cmap["11111100011011111001"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11111100011001111101"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11111100011010111011"] = std::pair<double, double>(      -0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11111100011000111111"] = std::pair<double, double>(       0.0448526343290000 ,                            0.0009789053990179  );
//   _cmap["11111100011110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11111100011101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11111100011100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11111100011100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004041171686607  );
//   _cmap["11111100011111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111100011110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111100011111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111100011101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111100011110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111100011101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111100011110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111100011101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111100011111101001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111100010111111001"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111100011101101101"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111100010101111101"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111100011110101011"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111100010110111011"] = std::pair<double, double>(      -0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111100011100101111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111100010100111111"] = std::pair<double, double>(       0.0038266036990000 ,                            0.0002077129833393  );
//   _cmap["11111100011111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100011111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100011110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100011101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100011111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100011111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100011110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100011101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100011011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100011011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100011010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100011001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100011011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100011011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100011010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100011001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100011110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11111100011101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436983871071  );
//   _cmap["11111100011011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11111100011011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11111100011010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11111100011001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436977223571  );
//   _cmap["11111100011010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11111100011001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001436970575893  );
//   _cmap["11111100011111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100010111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100011111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100010111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100011110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100011101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100010110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100010101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100011111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100010111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100011111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100010111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100011110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100011101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100010110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100010101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001302097231429  );
//   _cmap["11111100011111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111100010111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111100011111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111100010111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111100011110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111100011101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111100010110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111100010101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723721541250  );
//   _cmap["11111100011011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111100010011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111100011011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111100010011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111100011010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111100011001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111100010010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111100010001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000723714893571  );
//   _cmap["11111100011110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111100010111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111100010110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111100011101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111100010111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111100010101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111100010110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111100010101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000010459211250  );
//   _cmap["11111100101111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111100101101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111100101110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111100101100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111100101111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111100101101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111100101110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111100101100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111100101111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100101101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100101110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100101100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111100101011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100101001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100101010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100101000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111100101111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111100100111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111100101101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111100100101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111100101110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111100100110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111100101100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111100100100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111101001111111000"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111101001101111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111101001110111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111101001100111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111101001111011001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111101001101011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111101001110011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111101001100011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111101001111110001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111101001101110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111101001110110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111101001100110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015359561429  );
//   _cmap["11111101001011111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111101001001111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111101001010111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111101001000111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002015352913750  );
//   _cmap["11111101001111101001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111101000111111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111101001101101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111101000101111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111101001110101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111101000110111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111101001100101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111101000100111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000014669056071  );
//   _cmap["11111110001111111000"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11111110001101111100"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11111110001110111010"] = std::pair<double, double>(      -0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11111110001100111110"] = std::pair<double, double>(       0.0809593174010000 ,                            0.0026021213132679  );
//   _cmap["11111110001111011001"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11111110001101011101"] = std::pair<double, double>(       0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11111110001110011011"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11111110001100011111"] = std::pair<double, double>(      -0.0809591099080000 ,                            0.0026021117141250  );
//   _cmap["11111110001111110001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111110001011111001"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111110001101110101"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111110001001111101"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111110001110110011"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111110001010111011"] = std::pair<double, double>(      -0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111110001100110111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111110001000111111"] = std::pair<double, double>(       0.0602596826440000 ,                            0.0016042689024643  );
//   _cmap["11111110001110111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11111110001101111001"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11111110001100111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11111110001100111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0007294324349464  );
//   _cmap["11111110001110111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11111110001101111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681722195714  );
//   _cmap["11111110001111011100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11111110001111011010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11111110001110011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11111110001101011110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681710196786  );
//   _cmap["11111110001110011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11111110001101011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0004681698197857  );
//   _cmap["11111110001111101001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111110000111111001"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111110001101101101"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111110000101111101"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111110001110101011"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111110000110111011"] = std::pair<double, double>(      -0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111110001100101111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111110000100111111"] = std::pair<double, double>(       0.0051410564380000 ,                            0.0003737384923214  );
//   _cmap["11111110001111110100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111110001011111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111110001111110010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111110001011111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111110001110110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111110001101110110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111110001010111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111110001001111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637728723750  );
//   _cmap["11111110001111010101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111110001011011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111110001111010011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111110001011011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111110001110010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111110001101010111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111110001010011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111110001001011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0003637716724821  );
//   _cmap["11111110001110110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111110001011110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111110001010111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111110001101110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111110001011110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111110001001111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111110001010110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111110001001110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002593735251607  );
//   _cmap["11111110001111101100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111110000111111100"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111110001111101010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111110000111111010"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111110001110101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111110001101101110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111110000110111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111110000101111110"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350300548393  );
//   _cmap["11111110001111001101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111110000111011101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111110001111001011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111110000111011011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111110001110001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111110001101001111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111110000110011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111110000101011111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0002350288549464  );
//   _cmap["11111110001111100101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110000111110101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110001011101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110000011111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110001111100011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110000111110011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110001011101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110000011111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110001110100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110001101100111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110000110110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110000101110111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110001010101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110001001101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110000010111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110000001111111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0001306307076250  );
//   _cmap["11111110001110101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111110000111101101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111110000110111101"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111110001101101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111110000111101011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111110000101111011"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111110000110101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );
//   _cmap["11111110000101101111"] = std::pair<double, double>(       0.0000000000000000 ,                            0.0000018878900893  );

//   //     alpha conf  beta conf                                       local 2rdm                      2rdm e
//   _cmap["11111110001111111000"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11111110001101111100"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11111110001110111010"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11111110001100111110"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11011111001111111000"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11011111001101111100"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11011111001110111010"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11011111001100111110"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11101110101111111000"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11101110101101111100"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11101110101110111010"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11101110101100111110"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11001111101111111000"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11001111101101111100"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11001111101110111010"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11001111101100111110"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11110110011111011001"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11110110011101011101"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11110110011110011011"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11110110011100011111"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11010111011111011001"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11010111011101011101"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11010111011110011011"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11010111011100011111"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11100110111111011001"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11100110111101011101"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11100110111110011011"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11100110111100011111"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11000111111111011001"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11000111111101011101"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11000111111110011011"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11000111111100011111"] = std::pair<double,double>(      0.1457187935430000 / 56.0,     0.2927420159501390  );
//   _cmap["11111110001111011001"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11111110001101011101"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11111110001110011011"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11111110001100011111"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11011111001111011001"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11011111001101011101"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11011111001110011011"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11011111001100011111"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11101110101111011001"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11101110101101011101"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11101110101110011011"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11101110101100011111"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11001111101111011001"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11001111101101011101"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11001111101110011011"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11001111101100011111"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11110110011111111000"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11110110011101111100"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11110110011110111010"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11110110011100111110"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11010111011111111000"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11010111011101111100"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11010111011110111010"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11010111011100111110"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11100110111111111000"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11100110111101111100"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11100110111110111010"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11100110111100111110"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11000111111111111000"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11000111111101111100"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11000111111110111010"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11000111111100111110"] = std::pair<double,double>(      0.1457182559910000 / 56.0,     0.1729594988380890  );
//   _cmap["11111110001111110001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111110001011111001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11111110001101110101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111110001001111101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11111110001110110011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111110001010111011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11111110001100110111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111110001000111111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11011111001111110001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011111001011111001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11011111001101110101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011111001001111101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11011111001110110011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011111001010111011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11011111001100110111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011111001000111111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11101110101111110001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101110101011111001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11101110101101110101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101110101001111101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11101110101110110011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101110101010111011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11101110101100110111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101110101000111111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11001111101111110001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001111101011111001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11001111101101110101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001111101001111101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11001111101110110011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001111101010111011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11001111101100110111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001111101000111111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11111100011111111000"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111100011101111100"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111100011110111010"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111100011100111110"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111100011111011001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11111100011101011101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11111100011110011011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11111100011100011111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11110110011111110001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11110110011011111001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11110110011101110101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11110110011001111101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11110110011110110011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11110110011010111011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11110110011100110111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11110110011000111111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10111110011111111000"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10111110011101111100"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10111110011110111010"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10111110011100111110"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10111110011111011001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10111110011101011101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10111110011110011011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10111110011100011111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011101011111111000"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011101011101111100"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011101011110111010"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011101011100111110"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11011101011111011001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11011101011101011101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11011101011110011011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11011101011100011111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11010111011111110001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11010111011011111001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11010111011101110101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11010111011001111101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11010111011110110011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11010111011010111011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11010111011100110111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11010111011000111111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10011111011111111000"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10011111011101111100"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10011111011110111010"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10011111011100111110"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10011111011111011001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10011111011101011101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10011111011110011011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10011111011100011111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101100111111111000"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101100111101111100"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101100111110111010"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101100111100111110"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11101100111111011001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11101100111101011101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11101100111110011011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11101100111100011111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11100110111111110001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11100110111011111001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11100110111101110101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11100110111001111101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11100110111110110011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11100110111010111011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11100110111100110111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11100110111000111111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10101110111111111000"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10101110111101111100"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10101110111110111010"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10101110111100111110"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10101110111111011001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10101110111101011101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10101110111110011011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10101110111100011111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001101111111111000"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001101111101111100"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001101111110111010"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001101111100111110"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11001101111111011001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11001101111101011101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11001101111110011011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11001101111100011111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11000111111111110001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11000111111011111001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11000111111101110101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11000111111001111101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11000111111110110011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11000111111010111011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11000111111100110111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["11000111111000111111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10001111111111111000"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10001111111101111100"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10001111111110111010"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10001111111100111110"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.3881124006316780  );
//   _cmap["10001111111111011001"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10001111111101011101"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10001111111110011011"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["10001111111100011111"] = std::pair<double,double>(      0.0898390585380000 / 56.0,     0.5802628845833370  );
//   _cmap["11111100011111110001"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11111100011101110101"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11111100011110110011"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11111100011100110111"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10111110011011111001"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10111110011001111101"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10111110011010111011"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10111110011000111111"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11011101011111110001"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11011101011101110101"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11011101011110110011"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11011101011100110111"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10011111011011111001"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10011111011001111101"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10011111011010111011"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10011111011000111111"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11101100111111110001"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11101100111101110101"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11101100111110110011"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11101100111100110111"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10101110111011111001"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10101110111001111101"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10101110111010111011"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10101110111000111111"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11001101111111110001"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11001101111101110101"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11001101111110110011"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11001101111100110111"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10001111111011111001"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10001111111001111101"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10001111111010111011"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["10001111111000111111"] = std::pair<double,double>(      0.0548190001580000 / 56.0,     1.2872563819834700  );
//   _cmap["11111100011011111001"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11111100011001111101"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11111100011010111011"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11111100011000111111"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10111110011111110001"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10111110011101110101"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10111110011110110011"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10111110011100110111"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11011101011011111001"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11011101011001111101"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11011101011010111011"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11011101011000111111"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10011111011111110001"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10011111011101110101"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10011111011110110011"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10011111011100110111"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11101100111011111001"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11101100111001111101"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11101100111010111011"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11101100111000111111"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10101110111111110001"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10101110111101110101"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10101110111110110011"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10101110111100110111"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11001101111011111001"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11001101111001111101"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11001101111010111011"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11001101111000111111"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10001111111111110001"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10001111111101110101"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10001111111110110011"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["10001111111100110111"] = std::pair<double,double>(      0.0548187023450000 / 56.0,     0.6043528849549850  );
//   _cmap["11111110001110111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11111110001101111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11111110001100111101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11111110001100111011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11011111001110111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11011111001101111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11011111001100111101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11011111001100111011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11101110101110111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11101110101101111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11101110101100111101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11101110101100111011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11001111101110111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001111101101111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001111101100111101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001111101100111011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11110110011110111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11110110011101111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11110110011100111101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11110110011100111011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11101110011111111000"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11101110011101111100"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11101110011110111010"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11101110011100111110"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11101110011111011001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11101110011101011101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11101110011110011011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11101110011100011111"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11011110011111111000"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11011110011101111100"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11011110011110111010"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11011110011100111110"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11011110011111011001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11011110011101011101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11011110011110011011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11011110011100011111"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11010111011110111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11010111011101111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11010111011100111101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11010111011100111011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11001111011111111000"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11001111011101111100"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11001111011110111010"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001111011100111110"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001111011111011001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001111011101011101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001111011110011011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11001111011100011111"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11100110111110111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11100110111101111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11100110111100111101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11100110111100111011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001110111111111000"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11001110111101111100"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001110111110111010"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11001110111100111110"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001110111111011001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001110111101011101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11001110111110011011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893625871548120  );
//   _cmap["11001110111100011111"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11000111111110111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11000111111101111001"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11000111111100111101"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11000111111100111011"] = std::pair<double,double>(      0.0408482163570000 / 56.0,     0.9893610009900840  );
//   _cmap["11111110001110111100"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11111110001101111010"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11101111001111111000"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11101111001101111100"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11101111001110111010"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11101111001100111110"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11011111001110111100"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11011111001101111010"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11101110101110111100"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11101110101101111010"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11011110101111111000"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11011110101101111100"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11011110101110111010"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11011110101100111110"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11001111101110111100"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11001111101101111010"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11110110011110011101"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11110110011101011011"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11100111011111011001"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11100111011101011101"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11100111011110011011"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11100111011100011111"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11010111011110011101"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11010111011101011011"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11100110111110011101"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11100110111101011011"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11010110111111011001"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11010110111101011101"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11010110111110011011"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11010110111100011111"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11000111111110011101"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11000111111101011011"] = std::pair<double,double>(      0.0262176442960000 / 56.0,     0.5314382776180660  );
//   _cmap["11111110001111011100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11111110001111011010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11111110001110011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11111110001101011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110111001111111000"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110111001101111100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110111001110111010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110111001100111110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110111001111011001"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110111001101011101"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110111001110011011"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110111001100011111"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11011111001111011100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11011111001111011010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11011111001110011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11011111001101011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110101111111000"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110101101111100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110101110111010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110101100111110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110101111011001"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110101101011101"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110101110011011"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110101100011111"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11101110101111011100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11101110101111011010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11101110101110011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11101110101101011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100111101111111000"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100111101101111100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100111101110111010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100111101100111110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100111101111011001"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100111101101011101"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100111101110011011"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100111101100011111"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111101111111000"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111101101111100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111101110111010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111101100111110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111101111011001"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111101101011101"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111101110011011"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111101100011111"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11001111101111011100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11001111101111011010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11001111101110011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11001111101101011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110011111011100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110011111011010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110011110011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11110110011101011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111011111011100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111011111011010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111011110011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11010111011101011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100110111111011100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100110111111011010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100110111110011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11100110111101011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11000111111111011100"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11000111111111011010"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11000111111110011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11000111111101011110"] = std::pair<double,double>(      0.0262175771020000 / 56.0,     0.4990794179405370  );
//   _cmap["11111110001110011101"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11111110001101011011"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11101111001111011001"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11101111001101011101"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11101111001110011011"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11101111001100011111"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11011111001110011101"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11011111001101011011"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11101110101110011101"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11101110101101011011"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11011110101111011001"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11011110101101011101"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11011110101110011011"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11011110101100011111"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11001111101110011101"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11001111101101011011"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11110110011110111100"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11110110011101111010"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11100111011111111000"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11100111011101111100"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11100111011110111010"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11100111011100111110"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11010111011110111100"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11010111011101111010"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11100110111110111100"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11100110111101111010"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11010110111111111000"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11010110111101111100"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11010110111110111010"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11010110111100111110"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11000111111110111100"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11000111111101111010"] = std::pair<double,double>(      0.0262175099080000 / 56.0,     0.5314382783399970  );
//   _cmap["11111100011110111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11111100011101111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11111100011100111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11111100011100111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11101110011111110001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11101110011011111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11101110011101110101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11101110011001111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11101110011110110011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11101110011010111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11101110011100110111"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11101110011000111111"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11011110011111110001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11011110011011111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11011110011101110101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11011110011001111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11011110011110110011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11011110011010111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11011110011100110111"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11011110011000111111"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10111110011110111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["10111110011101111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["10111110011100111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["10111110011100111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11011101011110111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11011101011101111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11011101011100111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11011101011100111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001111011111110001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11001111011011111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001111011101110101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11001111011001111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001111011110110011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001111011010111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11001111011100110111"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001111011000111111"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10011111011110111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["10011111011101111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10011111011100111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["10011111011100111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11101100111110111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11101100111101111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11101100111100111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11101100111100111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11001110111111110001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11001110111011111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001110111101110101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001110111001111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11001110111110110011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11001110111010111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001110111100110111"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001110111000111111"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10101110111110111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10101110111101111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["10101110111100111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10101110111100111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001101111110111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001101111101111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001101111100111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["11001101111100111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893690667023590  );
//   _cmap["10001111111110111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10001111111101111001"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10001111111100111101"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["10001111111100111011"] = std::pair<double,double>(      0.0226305614450000 / 56.0,     0.9893640310340980  );
//   _cmap["11111110001111101001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111110000111111001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11111110001101101101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111110000101111101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11111110001110101011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111110000110111011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11111110001100101111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111110000100111111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11011111001111101001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011111000111111001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11011111001101101101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011111000101111101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11011111001110101011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011111000110111011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11011111001100101111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011111000100111111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11101110101111101001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101110100111111001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11101110101101101101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101110100101111101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11101110101110101011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101110100110111011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11101110101100101111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101110100100111111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11001111101111101001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001111100111111001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11001111101101101101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001111100101111101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11001111101110101011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001111100110111011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11001111101100101111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001111100100111111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11111010011111111000"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111010011101111100"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111010011110111010"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111010011100111110"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111010011111011001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11111010011101011101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11111010011110011011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11111010011100011111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11110110011111101001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11110110010111111001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11110110011101101101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11110110010101111101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11110110011110101011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11110110010110111011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11110110011100101111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11110110010100111111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01111110011111111000"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01111110011101111100"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01111110011110111010"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01111110011100111110"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01111110011111011001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01111110011101011101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01111110011110011011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01111110011100011111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011011011111111000"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011011011101111100"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011011011110111010"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011011011100111110"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11011011011111011001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11011011011101011101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11011011011110011011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11011011011100011111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11010111011111101001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11010111010111111001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11010111011101101101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11010111010101111101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11010111011110101011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11010111010110111011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11010111011100101111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11010111010100111111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01011111011111111000"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01011111011101111100"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01011111011110111010"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01011111011100111110"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01011111011111011001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01011111011101011101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01011111011110011011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01011111011100011111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101010111111111000"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101010111101111100"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101010111110111010"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101010111100111110"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11101010111111011001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11101010111101011101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11101010111110011011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11101010111100011111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11100110111111101001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11100110110111111001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11100110111101101101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11100110110101111101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11100110111110101011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11100110110110111011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11100110111100101111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11100110110100111111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01101110111111111000"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01101110111101111100"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01101110111110111010"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01101110111100111110"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01101110111111011001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01101110111101011101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01101110111110011011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01101110111100011111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001011111111111000"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001011111101111100"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001011111110111010"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001011111100111110"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11001011111111011001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11001011111101011101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11001011111110011011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11001011111100011111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11000111111111101001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11000111110111111001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11000111111101101101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11000111110101111101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11000111111110101011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11000111110110111011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11000111111100101111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["11000111110100111111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01001111111111111000"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01001111111101111100"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01001111111110111010"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01001111111100111110"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.6100557333060910  );
//   _cmap["01001111111111011001"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01001111111101011101"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01001111111110011011"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["01001111111100011111"] = std::pair<double,double>(      0.0209293555700000 / 56.0,     0.5911838425459930  );
//   _cmap["11111110001111110100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111110001011111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11111110001111110010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111110001011111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11111110001110110110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111110001101110110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111110001010111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11111110001001111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11111101001111111000"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111101001101111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111101001110111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111101001100111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011111001111110100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011111001011111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11011111001111110010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011111001011111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11011111001110110110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011111001101110110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011111001010111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11011111001001111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10111111001111111000"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10111111001101111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10111111001110111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10111111001100111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11111100101111111000"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111100101101111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111100101110111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111100101100111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11101110101111110100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11101110101011111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11101110101111110010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11101110101011111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11101110101110110110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11101110101101110110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11101110101010111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11101110101001111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10111110101111111000"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10111110101101111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10111110101110111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10111110101100111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11101101101111111000"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11101101101101111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11101101101110111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11101101101100111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011101101111111000"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011101101101111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011101101110111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11011101101100111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11001111101111110100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11001111101011111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11001111101111110010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11001111101011111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11001111101110110110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11001111101101110110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11001111101010111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11001111101001111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10101111101111111000"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10101111101101111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10101111101110111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10101111101100111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10011111101111111000"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10011111101101111100"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10011111101110111010"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["10011111101100111110"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110110011111010101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110110011011011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11110110011111010011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110110011011011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11110110011110010111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110110011101010111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110110011010011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11110110011001011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11110101011111011001"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110101011101011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110101011110011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110101011100011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010111011111010101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010111011011011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11010111011111010011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010111011011011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11010111011110010111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010111011101010111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010111011010011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11010111011001011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10110111011111011001"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10110111011101011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10110111011110011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10110111011100011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11110100111111011001"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110100111101011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110100111110011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11110100111100011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11100110111111010101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11100110111011011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11100110111111010011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11100110111011011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11100110111110010111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11100110111101010111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11100110111010011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11100110111001011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10110110111111011001"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10110110111101011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10110110111110011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10110110111100011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11100101111111011001"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11100101111101011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11100101111110011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11100101111100011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010101111111011001"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010101111101011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010101111110011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11010101111100011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11000111111111010101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11000111111011011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11000111111111010011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11000111111011011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11000111111110010111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11000111111101010111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     1.7854094774950200  );
//   _cmap["11000111111010011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11000111111001011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10100111111111011001"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10100111111101011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10100111111110011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10100111111100011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10010111111111011001"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10010111111101011101"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10010111111110011011"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["10010111111100011111"] = std::pair<double,double>(      0.0203712808530000 / 56.0,     2.0241391398587900  );
//   _cmap["11111110001111010101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11111110001011011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111110001111010011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11111110001011011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111110001110010111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11111110001101010111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11111110001010011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111110001001011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111101001111011001"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111101001101011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111101001110011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111101001100011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11011111001111010101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11011111001011011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11011111001111010011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11011111001011011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11011111001110010111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11011111001101010111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11011111001010011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11011111001001011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10111111001111011001"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10111111001101011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10111111001110011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10111111001100011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11111100101111011001"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111100101101011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111100101110011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111100101100011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11101110101111010101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11101110101011011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11101110101111010011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11101110101011011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11101110101110010111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11101110101101010111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11101110101010011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11101110101001011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10111110101111011001"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10111110101101011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10111110101110011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10111110101100011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11101101101111011001"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11101101101101011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11101101101110011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11101101101100011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11011101101111011001"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11011101101101011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11011101101110011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11011101101100011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11001111101111010101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11001111101011011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11001111101111010011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11001111101011011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11001111101110010111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11001111101101010111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11001111101010011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11001111101001011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10101111101111011001"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10101111101101011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10101111101110011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10101111101100011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10011111101111011001"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10011111101101011101"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10011111101110011011"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10011111101100011111"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110110011111110100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11110110011011111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110110011111110010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11110110011011111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110110011110110110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11110110011101110110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11110110011010111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110110011001111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110101011111111000"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110101011101111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110101011110111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110101011100111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11010111011111110100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11010111011011111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11010111011111110010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11010111011011111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11010111011110110110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11010111011101110110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11010111011010111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11010111011001111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10110111011111111000"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10110111011101111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10110111011110111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10110111011100111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11110100111111111000"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110100111101111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110100111110111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11110100111100111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11100110111111110100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11100110111011111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11100110111111110010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11100110111011111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11100110111110110110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11100110111101110110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11100110111010111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11100110111001111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10110110111111111000"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10110110111101111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10110110111110111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10110110111100111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11100101111111111000"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11100101111101111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11100101111110111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11100101111100111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11010101111111111000"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11010101111101111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11010101111110111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11010101111100111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11000111111111110100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11000111111011111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11000111111111110010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11000111111011111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11000111111110110110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11000111111101110110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11000111111010111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["11000111111001111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     1.7854072626443800  );
//   _cmap["10100111111111111000"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10100111111101111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10100111111110111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10100111111100111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10010111111111111000"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10010111111101111100"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10010111111110111010"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["10010111111100111110"] = std::pair<double,double>(      0.0203712136590000 / 56.0,     2.0241370994308000  );
//   _cmap["11111110001110110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11111110001011110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11111110001010111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11111110001101110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11111110001011110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11111110001001111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11111110001010110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11111110001001110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11110111001111110001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110111001011111001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110111001101110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110111001001111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110111001110110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110111001010111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110111001100110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110111001000111111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11101111001111110001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101111001011111001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101111001101110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101111001001111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101111001110110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101111001010111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101111001100110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101111001000111111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011111001110110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011111001011110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11011111001010111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011111001101110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011111001011110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11011111001001111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011111001010110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11011111001001110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11110110101111110001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110110101011111001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110110101101110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110110101001111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110110101110110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110110101010111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110110101100110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11110110101000111111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11101110101110110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101110101011110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11101110101010111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101110101101110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101110101011110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11101110101001111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101110101010110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11101110101001110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11011110101111110001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011110101011111001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011110101101110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011110101001111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011110101110110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011110101010111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011110101100110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011110101000111111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100111101111110001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11100111101011111001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11100111101101110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11100111101001111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11100111101110110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11100111101010111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11100111101100110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11100111101000111111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11010111101111110001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11010111101011111001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11010111101101110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11010111101001111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11010111101110110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11010111101010111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11010111101100110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11010111101000111111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11001111101110110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11001111101011110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11001111101010111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11001111101101110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11001111101011110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11001111101001111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11001111101010110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11001111101001110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11111100011111011100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11111100011110111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11111100011111011010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11111100011101111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11111100011110011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11111100011101011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11111100011110011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11111100011101011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11110110011110110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11110110011011110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11110110011010111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11110110011101110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11110110011011110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11110110011001111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11110110011010110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11110110011001110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111110011111011100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10111110011110111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10111110011111011010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10111110011101111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10111110011110011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10111110011101011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10111110011110011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10111110011101011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101101011111111000"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101101011101111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101101011110111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101101011100111110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101101011111011001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101101011101011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101101011110011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101101011100011111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011101011111011100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11011101011110111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011101011111011010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11011101011101111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011101011110011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11011101011101011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11011101011110011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011101011101011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10111101011111111000"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111101011101111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111101011110111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111101011100111110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111101011111011001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111101011101011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111101011110011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111101011100011111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11100111011111110001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100111011011111001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100111011101110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100111011001111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100111011110110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100111011010111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100111011100110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100111011000111111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010111011110110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010111011011110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11010111011010111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010111011101110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010111011011110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11010111011001111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010111011010110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11010111011001110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10101111011111111000"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101111011101111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101111011110111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101111011100111110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101111011111011001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101111011101011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101111011110011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101111011100011111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011111011111011100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10011111011110111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011111011111011010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10011111011101111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011111011110011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10011111011101011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10011111011110011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011111011101011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101100111111011100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11101100111110111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101100111111011010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11101100111101111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101100111110011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11101100111101011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11101100111110011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11101100111101011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011100111111111000"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011100111101111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011100111110111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011100111100111110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011100111111011001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011100111101011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011100111110011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11011100111100011111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10111100111111111000"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111100111101111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111100111110111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111100111100111110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111100111111011001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111100111101011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111100111110011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10111100111100011111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11100110111110110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100110111011110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11100110111010111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100110111101110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100110111011110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11100110111001111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11100110111010110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11100110111001110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11010110111111110001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010110111011111001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010110111101110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010110111001111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010110111110110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010110111010111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010110111100110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11010110111000111111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101110111111011100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10101110111110111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101110111111011010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10101110111101111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101110111110011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10101110111101011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10101110111110011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101110111101011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011110111111111000"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011110111101111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011110111110111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011110111100111110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011110111111011001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011110111101011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011110111110011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10011110111100011111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11001101111111011100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11001101111110111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11001101111111011010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11001101111101111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11001101111110011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11001101111101011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["11001101111110011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11001101111101011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10101101111111111000"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10101101111101111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10101101111110111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10101101111100111110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10101101111111011001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10101101111101011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10101101111110011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10101101111100011111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10011101111111111000"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10011101111101111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10011101111110111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10011101111100111110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10011101111111011001"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10011101111101011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10011101111110011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10011101111100011111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11000111111110110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11000111111011110101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11000111111010111101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11000111111101110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11000111111011110011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11000111111001111011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11000111111010110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["11000111111001110111"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     1.9107686479885100  );
//   _cmap["10001111111111011100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10001111111110111100"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10001111111111011010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10001111111101111010"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10001111111110011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10001111111101011110"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.4990794180654210  );
//   _cmap["10001111111110011101"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["10001111111101011011"] = std::pair<double,double>(      0.0145249174090000 / 56.0,     0.5314382796520880  );
//   _cmap["11111110001111101100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111110000111111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11111110001111101010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111110000111111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11111110001110101110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111110001101101110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111110000110111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11111110000101111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11111011001111111000"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111011001101111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111011001110111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111011001100111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011111001111101100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011111000111111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11011111001111101010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011111000111111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11011111001110101110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011111001101101110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011111000110111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11011111000101111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01111111001111111000"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01111111001101111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01111111001110111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01111111001100111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11111010101111111000"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111010101101111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111010101110111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111010101100111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11101110101111101100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11101110100111111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11101110101111101010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11101110100111111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11101110101110101110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11101110101101101110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11101110100110111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11101110100101111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01111110101111111000"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01111110101101111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01111110101110111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01111110101100111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11101011101111111000"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11101011101101111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11101011101110111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11101011101100111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011011101111111000"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011011101101111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011011101110111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11011011101100111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11001111101111101100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11001111100111111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11001111101111101010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11001111100111111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11001111101110101110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11001111101101101110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11001111100110111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11001111100101111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01101111101111111000"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01101111101101111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01101111101110111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01101111101100111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01011111101111111000"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01011111101101111100"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01011111101110111010"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["01011111101100111110"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110110011111001101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110110010111011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11110110011111001011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110110010111011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11110110011110001111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110110011101001111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110110010110011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11110110010101011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11110011011111011001"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110011011101011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110011011110011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110011011100011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010111011111001101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010111010111011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11010111011111001011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010111010111011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11010111011110001111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010111011101001111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010111010110011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11010111010101011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01110111011111011001"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01110111011101011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01110111011110011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01110111011100011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11110010111111011001"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110010111101011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110010111110011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11110010111100011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11100110111111001101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11100110110111011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11100110111111001011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11100110110111011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11100110111110001111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11100110111101001111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11100110110110011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11100110110101011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01110110111111011001"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01110110111101011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01110110111110011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01110110111100011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11100011111111011001"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11100011111101011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11100011111110011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11100011111100011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010011111111011001"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010011111101011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010011111110011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11010011111100011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11000111111111001101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11000111110111011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11000111111111001011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11000111110111011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11000111111110001111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11000111111101001111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2877299971087030  );
//   _cmap["11000111110110011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11000111110101011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01100111111111011001"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01100111111101011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01100111111110011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01100111111100011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01010111111111011001"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01010111111101011101"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01010111111110011011"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["01010111111100011111"] = std::pair<double,double>(      0.0131616830710000 / 56.0,     0.2898991282027820  );
//   _cmap["11111110001111001101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11111110000111011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111110001111001011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11111110000111011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111110001110001111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11111110001101001111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11111110000110011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111110000101011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111011001111011001"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111011001101011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111011001110011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111011001100011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11011111001111001101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11011111000111011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11011111001111001011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11011111000111011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11011111001110001111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11011111001101001111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11011111000110011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11011111000101011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01111111001111011001"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01111111001101011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01111111001110011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01111111001100011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11111010101111011001"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111010101101011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111010101110011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111010101100011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11101110101111001101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11101110100111011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11101110101111001011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11101110100111011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11101110101110001111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11101110101101001111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11101110100110011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11101110100101011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01111110101111011001"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01111110101101011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01111110101110011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01111110101100011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11101011101111011001"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11101011101101011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11101011101110011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11101011101100011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11011011101111011001"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11011011101101011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11011011101110011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11011011101100011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11001111101111001101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11001111100111011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11001111101111001011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11001111100111011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11001111101110001111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11001111101101001111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11001111100110011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11001111100101011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01101111101111011001"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01101111101101011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01101111101110011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01101111101100011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01011111101111011001"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01011111101101011101"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01011111101110011011"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01011111101100011111"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110110011111101100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11110110010111111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110110011111101010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11110110010111111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110110011110101110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11110110011101101110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11110110010110111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110110010101111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110011011111111000"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110011011101111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110011011110111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110011011100111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11010111011111101100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11010111010111111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11010111011111101010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11010111010111111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11010111011110101110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11010111011101101110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11010111010110111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11010111010101111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01110111011111111000"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01110111011101111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01110111011110111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01110111011100111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11110010111111111000"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110010111101111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110010111110111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11110010111100111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11100110111111101100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11100110110111111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11100110111111101010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11100110110111111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11100110111110101110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11100110111101101110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11100110110110111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11100110110101111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01110110111111111000"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01110110111101111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01110110111110111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01110110111100111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11100011111111111000"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11100011111101111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11100011111110111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11100011111100111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11010011111111111000"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11010011111101111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11010011111110111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11010011111100111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11000111111111101100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11000111110111111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11000111111111101010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11000111110111111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11000111111110101110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11000111111101101110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11000111110110111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["11000111110101111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2877300024066410  );
//   _cmap["01100111111111111000"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01100111111101111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01100111111110111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01100111111100111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01010111111111111000"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01010111111101111100"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01010111111110111010"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["01010111111100111110"] = std::pair<double,double>(      0.0131616158770000 / 56.0,     0.2898991360651930  );
//   _cmap["11111100011111101001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111100010111111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11111100011101101101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111100010101111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11111100011110101011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111100010110111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11111100011100101111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111100010100111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11111010011111110001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111010011011111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11111010011101110101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111010011001111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11111010011110110011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111010011010111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11111010011100110111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111010011000111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10111110011111101001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10111110010111111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10111110011101101101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10111110010101111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10111110011110101011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10111110010110111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10111110011100101111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10111110010100111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01111110011111110001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01111110011011111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01111110011101110101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01111110011001111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01111110011110110011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01111110011010111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01111110011100110111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01111110011000111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011101011111101001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011101010111111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11011101011101101101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011101010101111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11011101011110101011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011101010110111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11011101011100101111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011101010100111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11011011011111110001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011011011011111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11011011011101110101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011011011001111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11011011011110110011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011011011010111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11011011011100110111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11011011011000111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10011111011111101001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10011111010111111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10011111011101101101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10011111010101111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10011111011110101011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10011111010110111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10011111011100101111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10011111010100111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01011111011111110001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01011111011011111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01011111011101110101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01011111011001111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01011111011110110011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01011111011010111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01011111011100110111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01011111011000111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101100111111101001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101100110111111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11101100111101101101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101100110101111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11101100111110101011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101100110110111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11101100111100101111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101100110100111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11101010111111110001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101010111011111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11101010111101110101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101010111001111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11101010111110110011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101010111010111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11101010111100110111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11101010111000111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10101110111111101001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10101110110111111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10101110111101101101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10101110110101111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10101110111110101011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10101110110110111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10101110111100101111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10101110110100111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01101110111111110001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01101110111011111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01101110111101110101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01101110111001111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01101110111110110011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01101110111010111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01101110111100110111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01101110111000111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001101111111101001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001101110111111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11001101111101101101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001101110101111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11001101111110101011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001101110110111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11001101111100101111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001101110100111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11001011111111110001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001011111011111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11001011111101110101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001011111001111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11001011111110110011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001011111010111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["11001011111100110111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11001011111000111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10001111111111101001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10001111110111111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10001111111101101101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10001111110101111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10001111111110101011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10001111110110111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["10001111111100101111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["10001111110100111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01001111111111110001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01001111111011111001"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01001111111101110101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01001111111001111101"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01001111111110110011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01001111111010111011"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["01001111111100110111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.6034889633936330  );
//   _cmap["01001111111000111111"] = std::pair<double,double>(      0.0116319270670000 / 56.0,     0.5487648733673190  );
//   _cmap["11111101001111110001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111101001101110101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111101001110110011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111101001100110111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10111111001011111001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111111001001111101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111111001010111011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111111001000111111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11111100101111110001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111100101101110101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111100101110110011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111100101100110111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10111110101011111001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111110101001111101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111110101010111011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111110101000111111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11101101101111110001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11101101101101110101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11101101101110110011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11101101101100110111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11011101101111110001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11011101101101110101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11011101101110110011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11011101101100110111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10101111101011111001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10101111101001111101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10101111101010111011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10101111101000111111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10011111101011111001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10011111101001111101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10011111101010111011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10011111101000111111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11111100011111110100"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111100011111110010"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111100011110110110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111100011101110110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111100011111010101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11111100011111010011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11111100011110010111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11111100011101010111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111110011011111100"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111110011011111010"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111110011010111110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111110011001111110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10111110011011011101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10111110011011011011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10111110011010011111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10111110011001011111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11110101011111110001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11110101011101110101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11110101011110110011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11110101011100110111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11011101011111110100"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11011101011111110010"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11011101011110110110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11011101011101110110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11011101011111010101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11011101011111010011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11011101011110010111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11011101011101010111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10110111011011111001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10110111011001111101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10110111011010111011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10110111011000111111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10011111011011111100"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10011111011011111010"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10011111011010111110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10011111011001111110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10011111011011011101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10011111011011011011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10011111011010011111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10011111011001011111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11110100111111110001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11110100111101110101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11110100111110110011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11110100111100110111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11101100111111110100"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11101100111111110010"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11101100111110110110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11101100111101110110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11101100111111010101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11101100111111010011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11101100111110010111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11101100111101010111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10110110111011111001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10110110111001111101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10110110111010111011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10110110111000111111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10101110111011111100"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10101110111011111010"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10101110111010111110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10101110111001111110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10101110111011011101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10101110111011011011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10101110111010011111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10101110111001011111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11100101111111110001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11100101111101110101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11100101111110110011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11100101111100110111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11010101111111110001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11010101111101110101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11010101111110110011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11010101111100110111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11001101111111110100"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11001101111111110010"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11001101111110110110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11001101111101110110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11001101111111010101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11001101111111010011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11001101111110010111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["11001101111101010111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10100111111011111001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10100111111001111101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10100111111010111011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10100111111000111111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10010111111011111001"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10010111111001111101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10010111111010111011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10010111111000111111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10001111111011111100"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10001111111011111010"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10001111111010111110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10001111111001111110"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     1.7854032644257700  );
//   _cmap["10001111111011011101"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10001111111011011011"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10001111111010011111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["10001111111001011111"] = std::pair<double,double>(      0.0112860135440000 / 56.0,     2.0241334191850700  );
//   _cmap["11111101001011111001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111101001001111101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111101001010111011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111101001000111111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10111111001111110001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111111001101110101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111111001110110011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111111001100110111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11111100101011111001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111100101001111101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111100101010111011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111100101000111111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10111110101111110001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111110101101110101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111110101110110011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111110101100110111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11101101101011111001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11101101101001111101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11101101101010111011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11101101101000111111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11011101101011111001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11011101101001111101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11011101101010111011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11011101101000111111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10101111101111110001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10101111101101110101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10101111101110110011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10101111101100110111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10011111101111110001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10011111101101110101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10011111101110110011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10011111101100110111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11111100011011111100"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11111100011011111010"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11111100011010111110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11111100011001111110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11111100011011011101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111100011011011011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111100011010011111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11111100011001011111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10111110011111110100"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10111110011111110010"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10111110011110110110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10111110011101110110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10111110011111010101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111110011111010011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111110011110010111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10111110011101010111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11110101011011111001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11110101011001111101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11110101011010111011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11110101011000111111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11011101011011111100"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11011101011011111010"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11011101011010111110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11011101011001111110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11011101011011011101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11011101011011011011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11011101011010011111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11011101011001011111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10110111011111110001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10110111011101110101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10110111011110110011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10110111011100110111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10011111011111110100"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10011111011111110010"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10011111011110110110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10011111011101110110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10011111011111010101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10011111011111010011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10011111011110010111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10011111011101010111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11110100111011111001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11110100111001111101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11110100111010111011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11110100111000111111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11101100111011111100"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11101100111011111010"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11101100111010111110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11101100111001111110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11101100111011011101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11101100111011011011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11101100111010011111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11101100111001011111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10110110111111110001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10110110111101110101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10110110111110110011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10110110111100110111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10101110111111110100"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10101110111111110010"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10101110111110110110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10101110111101110110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10101110111111010101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10101110111111010011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10101110111110010111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10101110111101010111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11100101111011111001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11100101111001111101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11100101111010111011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11100101111000111111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11010101111011111001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11010101111001111101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11010101111010111011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11010101111000111111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11001101111011111100"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11001101111011111010"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11001101111010111110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11001101111001111110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11001101111011011101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11001101111011011011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11001101111010011111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["11001101111001011111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10100111111111110001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10100111111101110101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10100111111110110011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10100111111100110111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10010111111111110001"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10010111111101110101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10010111111110110011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10010111111100110111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10001111111111110100"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10001111111111110010"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10001111111110110110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10001111111101110110"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     2.0241370988326000  );
//   _cmap["10001111111111010101"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10001111111111010011"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10001111111110010111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["10001111111101010111"] = std::pair<double,double>(      0.0112859763170000 / 56.0,     1.7854072631234500  );
//   _cmap["11111100011110110101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11111100011101110011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10111110011010111101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10111110011001111011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11101101011111110001"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11101101011101110101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11101101011110110011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11101101011100110111"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11011101011110110101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11011101011101110011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10101111011011111001"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10101111011001111101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10101111011010111011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10101111011000111111"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10011111011010111101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10011111011001111011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11101100111110110101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11101100111101110011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11011100111111110001"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11011100111101110101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11011100111110110011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11011100111100110111"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10101110111010111101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10101110111001111011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10011110111011111001"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10011110111001111101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10011110111010111011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10011110111000111111"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11001101111110110101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11001101111101110011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10001111111010111101"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["10001111111001111011"] = std::pair<double,double>(      0.0080471096780000 / 56.0,     0.5314382752420460  );
//   _cmap["11111100011011110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11111100011011110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11111100011010110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11111100011001110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111110011011110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111110011011110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111110011010110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111110011001110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11011101011011110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11011101011011110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11011101011010110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11011101011001110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111101011111110001"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111101011011111001"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111101011101110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111101011001111101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111101011110110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111101011010111011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111101011100110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111101011000111111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011111011011110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011111011011110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011111011010110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011111011001110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11101100111011110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11101100111011110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11101100111010110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11101100111001110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111100111111110001"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111100111011111001"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111100111101110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111100111001111101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111100111110110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111100111010111011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111100111100110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10111100111000111111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101110111011110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101110111011110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101110111010110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101110111001110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11001101111011110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11001101111011110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11001101111010110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11001101111001110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101101111111110001"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101101111011111001"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101101111101110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101101111001111101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101101111110110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101101111010111011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101101111100110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10101101111000111111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011101111111110001"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011101111011111001"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011101111101110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011101111001111101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011101111110110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011101111010111011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011101111100110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10011101111000111111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10001111111011110101"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10001111111011110011"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10001111111010110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["10001111111001110111"] = std::pair<double,double>(      0.0080470724520000 / 56.0,     1.9107686502852700  );
//   _cmap["11111100011010111101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11111100011001111011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10111110011110110101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10111110011101110011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11101101011011111001"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11101101011001111101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11101101011010111011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11101101011000111111"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11011101011010111101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11011101011001111011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10101111011111110001"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10101111011101110101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10101111011110110011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10101111011100110111"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10011111011110110101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10011111011101110011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11101100111010111101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11101100111001111011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11011100111011111001"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11011100111001111101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11011100111010111011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11011100111000111111"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10101110111110110101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10101110111101110011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10011110111111110001"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10011110111101110101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10011110111110110011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10011110111100110111"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11001101111010111101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11001101111001111011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10001111111110110101"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["10001111111101110011"] = std::pair<double,double>(      0.0080470352250000 / 56.0,     0.5314382791160080  );
//   _cmap["11111110001111100101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111110000111110101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11111110001011101101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11111110000011111101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111110001111100011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111110000111110011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11111110001011101011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11111110000011111011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111110001110100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111110001101100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111110000110110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11111110000101110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11111110001010101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11111110001001101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11111110000010111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111110000001111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011111001111100101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011111000111110101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11011111001011101101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11011111000011111101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011111001111100011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011111000111110011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11011111001011101011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11011111000011111011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011111001110100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011111001101100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011111000110110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11011111000101110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11011111001010101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11011111001001101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11011111000010111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011111000001111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101110101111100101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101110100111110101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11101110101011101101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11101110100011111101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101110101111100011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101110100111110011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11101110101011101011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11101110100011111011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101110101110100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101110101101100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101110100110110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11101110100101110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11101110101010101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11101110101001101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11101110100010111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101110100001111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11001111101111100101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11001111100111110101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11001111101011101101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11001111100011111101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11001111101111100011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11001111100111110011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11001111101011101011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11001111100011111011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11001111101110100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11001111101101100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11001111100110110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11001111100101110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11001111101010101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11001111101001101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11001111100010111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11001111100001111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11110110011111100101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11110110010111110101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11110110011011101101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11110110010011111101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11110110011111100011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11110110010111110011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11110110011011101011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11110110010011111011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11110110011110100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11110110011101100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11110110010110110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11110110010101110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11110110011010101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11110110011001101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11110110010010111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11110110010001111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111001011111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111001011101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111001011110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111001011100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111001011111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111001011101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111001011110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111001011100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["01111101011111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111101011101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111101011110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111101011100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111101011111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111101011101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111101011110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111101011100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111011011111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111011011101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111011011110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111011011100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111011011111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111011011101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111011011110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111011011100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111011111100101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11010111010111110101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111011011101101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111010011111101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11010111011111100011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11010111010111110011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111011011101011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111010011111011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11010111011110100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11010111011101100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11010111010110110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111010101110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111011010101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111011001101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11010111010010111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11010111010001111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111111011111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111111011101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111111011110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111111011100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111111011111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111111011101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111111011110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111111011100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111000111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111000111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111000111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111000111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111000111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111000111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111000111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111000111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["01111100111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111100111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111100111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111100111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111100111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111100111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111100111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01111100111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111010111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111010111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111010111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111010111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111010111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111010111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111010111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10111010111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110111111100101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11100110110111110101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110111011101101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110110011111101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11100110111111100011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11100110110111110011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110111011101011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110110011111011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11100110111110100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11100110111101100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11100110110110110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110110101110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110111010101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110111001101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11100110110010111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11100110110001111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111110111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111110111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111110111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111110111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111110111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111110111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111110111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00111110111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101001111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101001111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101001111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101001111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101001111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101001111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101001111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11101001111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011001111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011001111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011001111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011001111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011001111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011001111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011001111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11011001111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["01101101111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01101101111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01101101111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01101101111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01101101111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01101101111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01101101111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01101101111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01011101111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01011101111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01011101111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01011101111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01011101111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01011101111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01011101111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["01011101111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10101011111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10101011111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10101011111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10101011111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10101011111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10101011111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10101011111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10101011111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10011011111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10011011111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10011011111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10011011111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10011011111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10011011111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10011011111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["10011011111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111111111100101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11000111110111110101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111111011101101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111110011111101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11000111111111100011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11000111110111110011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111111011101011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111110011111011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11000111111110100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11000111111101100111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11000111110110110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111110101110111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111111010101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111111001101111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3082256900514320  );
//   _cmap["11000111110010111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11000111110001111111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00101111111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00101111111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00101111111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00101111111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00101111111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00101111111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00101111111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00101111111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00011111111111111000"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00011111111101111100"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00011111111110111010"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00011111111100111110"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00011111111111011001"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00011111111101011101"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00011111111110011011"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["00011111111100011111"] = std::pair<double,double>(      0.0073153196270000 / 56.0,     0.3461411395655830  );
//   _cmap["11111011001111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111011001011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111011001101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111011001001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111011001110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111011001010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111011001100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111011001000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01111111001111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111111001011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111111001101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111111001001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111111001110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111111001010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111111001100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111111001000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111010101111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111010101011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111010101101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111010101001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111010101110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111010101010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111010101100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111010101000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01111110101111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111110101011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111110101101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111110101001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111110101110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111110101010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111110101100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01111110101000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101011101111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101011101011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101011101101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101011101001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101011101110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101011101010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101011101100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101011101000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011011101111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011011101011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011011101101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011011101001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011011101110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011011101010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011011101100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011011101000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01101111101111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01101111101011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01101111101101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01101111101001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01101111101110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01101111101010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01101111101100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01101111101000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01011111101111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01011111101011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01011111101101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01011111101001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01011111101110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01011111101010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01011111101100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01011111101000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100011111101100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111100010111111100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100011111101010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111100010111111010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100011110101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111100011101101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111100010110111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100010101111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100011111001101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100010111011101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111100011111001011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100010111011011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111100011110001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100011101001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11111100010110011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111100010101011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10111110011111101100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10111110010111111100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10111110011111101010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10111110010111111010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10111110011110101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10111110011101101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10111110010110111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10111110010101111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10111110011111001101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10111110010111011101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10111110011111001011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10111110010111011011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10111110011110001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10111110011101001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10111110010110011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10111110010101011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011101011111101100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011101010111111100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11011101011111101010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011101010111111010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11011101011110101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011101011101101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011101010110111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11011101010101111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11011101011111001101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11011101010111011101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011101011111001011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11011101010111011011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011101011110001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11011101011101001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11011101010110011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11011101010101011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11110011011111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110011011011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110011011101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110011011001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110011011110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110011011010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110011011100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110011011000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01110111011111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110111011011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110111011101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110111011001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110111011110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110111011010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110111011100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110111011000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10011111011111101100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10011111010111111100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10011111011111101010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10011111010111111010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10011111011110101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10011111011101101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10011111010110111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10011111010101111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10011111011111001101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10011111010111011101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10011111011111001011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10011111010111011011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10011111011110001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10011111011101001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10011111010110011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10011111010101011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101100111111101100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101100110111111100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101100111111101010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101100110111111010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101100111110101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101100111101101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101100110110111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101100110101111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101100111111001101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101100110111011101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101100111111001011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101100110111011011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101100111110001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101100111101001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11101100110110011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11101100110101011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11110010111111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110010111011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110010111101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110010111001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110010111110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110010111010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110010111100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11110010111000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01110110111111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110110111011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110110111101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110110111001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110110111110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110110111010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110110111100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01110110111000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10101110111111101100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10101110110111111100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10101110111111101010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10101110110111111010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10101110111110101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10101110111101101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10101110110110111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10101110110101111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10101110111111001101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10101110110111011101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10101110111111001011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10101110110111011011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10101110111110001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10101110111101001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10101110110110011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10101110110101011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11001101111111101100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11001101110111111100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11001101111111101010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11001101110111111010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11001101111110101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11001101111101101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11001101110110111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11001101110101111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11001101111111001101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11001101110111011101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11001101111111001011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11001101110111011011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11001101111110001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11001101111101001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11001101110110011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11001101110101011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11100011111111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11100011111011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11100011111101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11100011111001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11100011111110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11100011111010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11100011111100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11100011111000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11010011111111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11010011111011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11010011111101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11010011111001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11010011111110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11010011111010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11010011111100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["11010011111000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["01100111111111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01100111111011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01100111111101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01100111111001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01100111111110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01100111111010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01100111111100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01100111111000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01010111111111110001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01010111111011111001"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01010111111101110101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01010111111001111101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01010111111110110011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01010111111010111011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01010111111100110111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["01010111111000111111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10001111111111101100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10001111110111111100"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10001111111111101010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10001111110111111010"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10001111111110101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10001111111101101110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10001111110110111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10001111110101111110"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10001111111111001101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10001111110111011101"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10001111111111001011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10001111110111011011"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10001111111110001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10001111111101001111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2877300027628840  );
//   _cmap["10001111110110011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["10001111110101011111"] = std::pair<double,double>(      0.0072917444960000 / 56.0,     0.2898991418500440  );
//   _cmap["11111100011111100101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111100010111110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11111100011111100011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111100010111110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11111100011110100111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111100011101100111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111100010110110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11111100010101110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111110011011101101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111110010011111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10111110011011101011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111110010011111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10111110011010101111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111110011001101111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111110010010111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10111110010001111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111001011111110001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111001011101110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111001011110110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111001011100110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011101011111100101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011101010111110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11011101011111100011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011101010111110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11011101011110100111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011101011101100111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011101010110110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11011101010101110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01111101011111110001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01111101011101110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01111101011110110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01111101011100110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111011011011111001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111011011001111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111011011010111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111011011000111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011111011011101101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011111010011111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10011111011011101011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011111010011111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10011111011010101111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011111011001101111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011111010010111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10011111010001111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00111111011011111001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00111111011001111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00111111011010111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00111111011000111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111000111111110001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111000111101110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111000111110110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111000111100110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101100111111100101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101100110111110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11101100111111100011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101100110111110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11101100111110100111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101100111101100111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101100110110110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11101100110101110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01111100111111110001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01111100111101110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01111100111110110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01111100111100110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111010111011111001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111010111001111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111010111010111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10111010111000111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101110111011101101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101110110011111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10101110111011101011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101110110011111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10101110111010101111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101110111001101111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101110110010111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10101110110001111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00111110111011111001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00111110111001111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00111110111010111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00111110111000111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101001111111110001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101001111101110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101001111110110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11101001111100110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011001111111110001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011001111101110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011001111110110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11011001111100110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11001101111111100101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11001101110111110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11001101111111100011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11001101110111110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11001101111110100111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11001101111101100111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11001101110110110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["11001101110101110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01101101111111110001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01101101111101110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01101101111110110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01101101111100110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01011101111111110001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01011101111101110101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01011101111110110011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["01011101111100110111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101011111011111001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101011111001111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101011111010111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10101011111000111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011011111011111001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011011111001111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011011111010111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10011011111000111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10001111111011101101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10001111110011111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10001111111011101011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10001111110011111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10001111111010101111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10001111111001101111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3082255222258910  );
//   _cmap["10001111110010111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["10001111110001111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00101111111011111001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00101111111001111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00101111111010111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00101111111000111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00011111111011111001"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00011111111001111101"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00011111111010111011"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["00011111111000111111"] = std::pair<double,double>(      0.0040528406310000 / 56.0,     0.3461407954846490  );
//   _cmap["11111100011011101101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11111100010011111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111100011011101011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11111100010011111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111100011010101111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11111100011001101111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11111100010010111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111100010001111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10111110011111100101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10111110010111110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111110011111100011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10111110010111110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111110011110100111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10111110011101100111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10111110010110110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111110010101110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11111001011011111001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111001011001111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111001011010111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111001011000111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11011101011011101101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11011101010011111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11011101011011101011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11011101010011111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11011101011010101111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11011101011001101111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11011101010010111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11011101010001111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["01111101011011111001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01111101011001111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01111101011010111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01111101011000111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111011011111110001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111011011101110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111011011110110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111011011100110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10011111011111100101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10011111010111110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10011111011111100011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10011111010111110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10011111011110100111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10011111011101100111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10011111010110110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10011111010101110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["00111111011111110001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00111111011101110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00111111011110110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00111111011100110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111000111011111001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111000111001111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111000111010111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111000111000111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11101100111011101101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11101100110011111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11101100111011101011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11101100110011111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11101100111010101111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11101100111001101111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11101100110010111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11101100110001111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["01111100111011111001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01111100111001111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01111100111010111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01111100111000111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111010111111110001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111010111101110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111010111110110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10111010111100110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10101110111111100101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10101110110111110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10101110111111100011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10101110110111110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10101110111110100111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10101110111101100111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10101110110110110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10101110110101110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["00111110111111110001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00111110111101110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00111110111110110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00111110111100110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11101001111011111001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11101001111001111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11101001111010111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11101001111000111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11011001111011111001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11011001111001111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11011001111010111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11011001111000111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11001101111011101101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11001101110011111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11001101111011101011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11001101110011111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11001101111010101111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11001101111001101111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["11001101110010111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11001101110001111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["01101101111011111001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01101101111001111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01101101111010111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01101101111000111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01011101111011111001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01011101111001111101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01011101111010111011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["01011101111000111111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10101011111111110001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10101011111101110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10101011111110110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10101011111100110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10011011111111110001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10011011111101110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10011011111110110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10011011111100110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10001111111111100101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10001111110111110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10001111111111100011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10001111110111110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10001111111110100111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10001111111101100111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["10001111110110110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["10001111110101110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3082256866334510  );
//   _cmap["00101111111111110001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00101111111101110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00101111111110110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00101111111100110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00011111111111110001"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00011111111101110101"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00011111111110110011"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["00011111111100110111"] = std::pair<double,double>(      0.0040528034040000 / 56.0,     0.3461411423515590  );
//   _cmap["11111010011111101001"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11111010011101101101"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11111010011110101011"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11111010011100101111"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01111110010111111001"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01111110010101111101"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01111110010110111011"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01111110010100111111"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11011011011111101001"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11011011011101101101"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11011011011110101011"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11011011011100101111"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01011111010111111001"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01011111010101111101"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01011111010110111011"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01011111010100111111"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11101010111111101001"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11101010111101101101"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11101010111110101011"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11101010111100101111"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01101110110111111001"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01101110110101111101"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01101110110110111011"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01101110110100111111"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11001011111111101001"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11001011111101101101"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11001011111110101011"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11001011111100101111"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01001111110111111001"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01001111110101111101"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01001111110110111011"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["01001111110100111111"] = std::pair<double,double>(      0.0001664274790000 / 56.0,     1.2100422911417900  );
//   _cmap["11111010010111111001"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11111010010101111101"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11111010010110111011"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11111010010100111111"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01111110011111101001"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01111110011101101101"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01111110011110101011"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01111110011100101111"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11011011010111111001"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11011011010101111101"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11011011010110111011"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11011011010100111111"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01011111011111101001"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01011111011101101101"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01011111011110101011"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01011111011100101111"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11101010110111111001"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11101010110101111101"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11101010110110111011"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11101010110100111111"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01101110111111101001"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01101110111101101101"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01101110111110101011"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01101110111100101111"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11001011110111111001"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11001011110101111101"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11001011110110111011"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11001011110100111111"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01001111111111101001"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01001111111101101101"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01001111111110101011"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["01001111111100101111"] = std::pair<double,double>(      0.0001664253110000 / 56.0,     0.6257674110581860  );
//   _cmap["11111010011110111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11111010011101111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11111010011100111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11111010011100111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11101110011111101001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11101110010111111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11101110011101101101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11101110010101111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11101110011110101011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11101110010110111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11101110011100101111"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11101110010100111111"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11011110011111101001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11011110010111111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11011110011101101101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11011110010101111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11011110011110101011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11011110010110111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11011110011100101111"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11011110010100111111"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01111110011110111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["01111110011101111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["01111110011100111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["01111110011100111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11011011011110111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11011011011101111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11011011011100111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11011011011100111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001111011111101001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11001111010111111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001111011101101101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11001111010101111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001111011110101011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001111010110111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11001111011100101111"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001111010100111111"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01011111011110111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["01011111011101111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01011111011100111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["01011111011100111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11101010111110111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11101010111101111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11101010111100111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11101010111100111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11001110111111101001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11001110110111111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001110111101101101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001110110101111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11001110111110101011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11001110110110111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001110111100101111"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001110110100111111"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01101110111110111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01101110111101111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["01101110111100111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01101110111100111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001011111110111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001011111101111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001011111100111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["11001011111100111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893490664933970  );
//   _cmap["01001111111110111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01001111111101111001"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01001111111100111101"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["01001111111100111011"] = std::pair<double,double>(      0.0001647200220000 / 56.0,     0.9893572257929390  );
//   _cmap["11111110001110101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11111110000111101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11111110000110111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11111110001101101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11111110000111101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11111110000101111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11111110000110101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11111110000101101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11110111001111101001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110111000111111001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110111001101101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110111000101111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110111001110101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110111000110111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110111001100101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110111000100111111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11101111001111101001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101111000111111001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101111001101101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101111000101111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101111001110101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101111000110111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101111001100101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101111000100111111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011111001110101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011111000111101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11011111000110111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011111001101101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011111000111101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11011111000101111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011111000110101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11011111000101101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11110110101111101001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110110100111111001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110110101101101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110110100101111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110110101110101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110110100110111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110110101100101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11110110100100111111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11101110101110101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101110100111101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11101110100110111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101110101101101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101110100111101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11101110100101111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101110100110101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11101110100101101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11011110101111101001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011110100111111001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011110101101101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011110100101111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011110101110101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011110100110111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011110101100101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011110100100111111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100111101111101001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11100111100111111001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11100111101101101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11100111100101111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11100111101110101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11100111100110111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11100111101100101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11100111100100111111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11010111101111101001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11010111100111111001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11010111101101101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11010111100101111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11010111101110101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11010111100110111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11010111101100101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11010111100100111111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11001111101110101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11001111100111101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11001111100110111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11001111101101101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11001111100111101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11001111100101111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11001111100110101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11001111100101101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11111010011111011100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11111010011110111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11111010011111011010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11111010011101111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11111010011110011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11111010011101011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11111010011110011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11111010011101011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11110110011110101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11110110010111101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11110110010110111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11110110011101101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11110110010111101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11110110010101111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11110110010110101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11110110010101101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111110011111011100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01111110011110111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01111110011111011010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01111110011101111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01111110011110011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01111110011101011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01111110011110011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01111110011101011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101011011111111000"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101011011101111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101011011110111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101011011100111110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101011011111011001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101011011101011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101011011110011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101011011100011111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011011011111011100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11011011011110111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011011011111011010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11011011011101111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011011011110011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11011011011101011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11011011011110011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011011011101011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01111011011111111000"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111011011101111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111011011110111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111011011100111110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111011011111011001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111011011101011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111011011110011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111011011100011111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11100111011111101001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100111010111111001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100111011101101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100111010101111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100111011110101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100111010110111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100111011100101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100111010100111111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010111011110101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010111010111101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11010111010110111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010111011101101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010111010111101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11010111010101111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010111010110101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11010111010101101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01101111011111111000"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101111011101111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101111011110111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101111011100111110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101111011111011001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101111011101011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101111011110011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101111011100011111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011111011111011100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01011111011110111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011111011111011010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01011111011101111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011111011110011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01011111011101011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01011111011110011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011111011101011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101010111111011100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11101010111110111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101010111111011010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11101010111101111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101010111110011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11101010111101011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11101010111110011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11101010111101011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011010111111111000"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011010111101111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011010111110111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011010111100111110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011010111111011001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011010111101011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011010111110011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11011010111100011111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01111010111111111000"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111010111101111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111010111110111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111010111100111110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111010111111011001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111010111101011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111010111110011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01111010111100011111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11100110111110101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100110110111101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11100110110110111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100110111101101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100110110111101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11100110110101111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11100110110110101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11100110110101101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11010110111111101001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010110110111111001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010110111101101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010110110101111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010110111110101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010110110110111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010110111100101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11010110110100111111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101110111111011100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01101110111110111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101110111111011010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01101110111101111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101110111110011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01101110111101011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01101110111110011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101110111101011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011110111111111000"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011110111101111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011110111110111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011110111100111110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011110111111011001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011110111101011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011110111110011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01011110111100011111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11001011111111011100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11001011111110111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11001011111111011010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11001011111101111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11001011111110011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11001011111101011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["11001011111110011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11001011111101011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01101011111111111000"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01101011111101111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01101011111110111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01101011111100111110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01101011111111011001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01101011111101011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01101011111110011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01101011111100011111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01011011111111111000"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01011011111101111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01011011111110111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01011011111100111110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01011011111111011001"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01011011111101011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01011011111110011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01011011111100011111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11000111111110101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11000111110111101101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11000111110110111101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11000111111101101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11000111110111101011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11000111110101111011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11000111110110101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["11000111110101101111"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.2847628699604860  );
//   _cmap["01001111111111011100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01001111111110111100"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01001111111111011010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01001111111101111010"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01001111111110011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01001111111101011110"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.4990793719075300  );
//   _cmap["01001111111110011101"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["01001111111101011011"] = std::pair<double,double>(      0.0001057218450000 / 56.0,     0.5314382472181900  );
//   _cmap["11111101001111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111101000111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111101001101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111101000101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111101001110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111101000110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111101001100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111101000100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10111111001111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111111000111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111111001101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111111000101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111111001110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111111000110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111111001100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111111000100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111100101111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111100100111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111100101101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111100100101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111100101110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111100100110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111100101100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111100100100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10111110101111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111110100111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111110101101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111110100101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111110101110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111110100110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111110101100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10111110100100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101101101111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101101100111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101101101101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101101100101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101101101110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101101100110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101101101100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101101100100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011101101111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011101100111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011101101101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011101100101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011101101110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011101100110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011101101100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011101100100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10101111101111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10101111100111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10101111101101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10101111100101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10101111101110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10101111100110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10101111101100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10101111100100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10011111101111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10011111100111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10011111101101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10011111100101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10011111101110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10011111100110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10011111101100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["10011111100100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011111110100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111010011011111100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011111110010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111010011011111010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011110110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111010011101110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111010011010111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011001111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011111010101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011011011101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111010011111010011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011011011011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111010011110010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011101010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11111010011010011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111010011001011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01111110011111110100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01111110011011111100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01111110011111110010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01111110011011111010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01111110011110110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01111110011101110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01111110011010111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01111110011001111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01111110011111010101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01111110011011011101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01111110011111010011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01111110011011011011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01111110011110010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01111110011101010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01111110011010011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01111110011001011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11110101011111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110101010111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110101011101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110101010101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110101011110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110101010110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110101011100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110101010100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011111110100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011011011011111100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011111110010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011011011011111010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011110110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011011011101110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011011011010111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011001111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011111010101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011011011101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011011011111010011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011011011011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011011011110010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011101010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11011011011010011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11011011011001011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110111011111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110111010111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110111011101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110111010101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110111011110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110111010110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110111011100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110111010100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01011111011111110100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01011111011011111100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01011111011111110010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01011111011011111010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01011111011110110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01011111011101110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01011111011010111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01011111011001111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01011111011111010101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01011111011011011101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01011111011111010011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01011111011011011011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01011111011110010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01011111011101010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01011111011010011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01011111011001011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11110100111111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110100110111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110100111101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110100110101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110100111110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110100110110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110100111100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11110100110100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111111110100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101010111011111100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111111110010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101010111011111010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111110110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101010111101110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101010111010111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111001111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111111010101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111011011101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101010111111010011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111011011011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101010111110010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111101010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11101010111010011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11101010111001011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110110111111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110110110111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110110111101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110110110101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110110111110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110110110110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110110111100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10110110110100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01101110111111110100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01101110111011111100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01101110111111110010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01101110111011111010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01101110111110110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01101110111101110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01101110111010111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01101110111001111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01101110111111010101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01101110111011011101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01101110111111010011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01101110111011011011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01101110111110010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01101110111101010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01101110111010011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01101110111001011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11100101111111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11100101110111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11100101111101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11100101110101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11100101111110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11100101110110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11100101111100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11100101110100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11010101111111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11010101110111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11010101111101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11010101110101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11010101111110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11010101110110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11010101111100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11010101110100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111111110100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11001011111011111100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111111110010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11001011111011111010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111110110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11001011111101110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11001011111010111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111001111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111111010101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111011011101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11001011111111010011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111011011011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11001011111110010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111101010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["11001011111010011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11001011111001011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10100111111111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10100111110111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10100111111101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10100111110101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10100111111110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10100111110110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10100111111100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10100111110100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10010111111111101001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10010111110111111001"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10010111111101101101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10010111110101111101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10010111111110101011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10010111110110111011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10010111111100101111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["10010111110100111111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01001111111111110100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01001111111011111100"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01001111111111110010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01001111111011111010"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01001111111110110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01001111111101110110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01001111111010111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01001111111001111110"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01001111111111010101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01001111111011011101"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01001111111111010011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01001111111011011011"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01001111111110010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01001111111101010111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     1.7854073140238400  );
//   _cmap["01001111111010011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["01001111111001011111"] = std::pair<double,double>(      0.0000821467140000 / 56.0,     2.0241370579770300  );
//   _cmap["11111100011110101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11111100010111101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11111100010110111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11111100011101101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11111100010111101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11111100010101111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11111100010110101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11111100010101101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11111010011110110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11111010011011110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11111010011010111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11111010011101110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11111010011011110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11111010011001111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11111010011010110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11111010011001110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111110011110101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10111110010111101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10111110010110111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10111110011101101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10111110010111101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10111110010101111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10111110010110101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10111110010101101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111110011110110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01111110011011110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01111110011010111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01111110011101110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01111110011011110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01111110011001111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01111110011010110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01111110011001110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11101101011111101001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101101010111111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101101011101101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101101010101111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101101011110101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101101010110111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101101011100101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101101010100111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011101011110101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011101010111101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11011101010110111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011101011101101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011101010111101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11011101010101111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011101010110101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11011101010101101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10111101011111101001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111101010111111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111101011101101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111101010101111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111101011110101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111101010110111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111101011100101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111101010100111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11101011011111110001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101011011011111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101011011101110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101011011001111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101011011110110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101011011010111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101011011100110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101011011000111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011011011110110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011011011011110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11011011011010111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011011011101110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011011011011110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11011011011001111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011011011010110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11011011011001110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01111011011111110001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111011011011111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111011011101110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111011011001111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111011011110110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111011011010111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111011011100110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111011011000111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10101111011111101001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101111010111111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101111011101101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101111010101111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101111011110101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101111010110111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101111011100101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101111010100111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101111011111110001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101111011011111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101111011101110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101111011001111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101111011110110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101111011010111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101111011100110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101111011000111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011111011110101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011111010111101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10011111010110111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011111011101101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011111010111101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10011111010101111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011111010110101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10011111010101101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011111011110110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011111011011110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01011111011010111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011111011101110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011111011011110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01011111011001111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011111011010110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01011111011001110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11101100111110101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101100110111101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11101100110110111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101100111101101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101100110111101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11101100110101111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101100110110101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11101100110101101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11011100111111101001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011100110111111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011100111101101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011100110101111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011100111110101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011100110110111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011100111100101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011100110100111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10111100111111101001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111100110111111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111100111101101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111100110101111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111100111110101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111100110110111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111100111100101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10111100110100111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11101010111110110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101010111011110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11101010111010111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101010111101110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101010111011110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11101010111001111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11101010111010110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11101010111001110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11011010111111110001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011010111011111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011010111101110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011010111001111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011010111110110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011010111010111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011010111100110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11011010111000111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01111010111111110001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111010111011111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111010111101110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111010111001111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111010111110110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111010111010111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111010111100110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01111010111000111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10101110111110101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101110110111101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10101110110110111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101110111101101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101110110111101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10101110110101111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10101110110110101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10101110110101101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01101110111110110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101110111011110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01101110111010111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101110111101110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101110111011110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01101110111001111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01101110111010110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01101110111001110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011110111111101001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011110110111111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011110111101101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011110110101111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011110111110101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011110110110111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011110111100101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10011110110100111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011110111111110001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011110111011111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011110111101110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011110111001111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011110111110110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011110111010111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011110111100110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01011110111000111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001101111110101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001101110111101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11001101110110111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001101111101101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001101110111101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11001101110101111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001101110110101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["11001101110101101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10101101111111101001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10101101110111111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10101101111101101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10101101110101111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10101101111110101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10101101110110111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10101101111100101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10101101110100111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011101111111101001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011101110111111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011101111101101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011101110101111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011101111110101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011101110110111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011101111100101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["10011101110100111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11001011111110110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001011111011110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11001011111010111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001011111101110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001011111011110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11001011111001111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["11001011111010110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11001011111001110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01101011111111110001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01101011111011111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01101011111101110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01101011111001111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01101011111110110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01101011111010111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01101011111100110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01101011111000111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011011111111110001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011011111011111001"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011011111101110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011011111001111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011011111110110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011011111010111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011011111100110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01011011111000111111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10001111111110101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10001111110111101101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10001111110110111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10001111111101101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10001111110111101011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10001111110101111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["10001111110110101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["10001111110101101111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.2847633467554330  );
//   _cmap["01001111111110110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01001111111011110101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01001111111010111101"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01001111111101110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01001111111011110011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01001111111001111011"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     0.5314387353967900  );
//   _cmap["01001111111010110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["01001111111001110111"] = std::pair<double,double>(      0.0000585715830000 / 56.0,     1.9107683669562200  );
//   _cmap["11111011001111101001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111011001101101101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111011001110101011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111011001100101111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01111111000111111001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111111000101111101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111111000110111011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111111000100111111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11111010101111101001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111010101101101101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111010101110101011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111010101100101111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01111110100111111001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111110100101111101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111110100110111011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111110100100111111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11101011101111101001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11101011101101101101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11101011101110101011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11101011101100101111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11011011101111101001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11011011101101101101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11011011101110101011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11011011101100101111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01101111100111111001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01101111100101111101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01101111100110111011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01101111100100111111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01011111100111111001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01011111100101111101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01011111100110111011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01011111100100111111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11111010011111101100"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111010011111101010"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111010011110101110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111010011101101110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111010011111001101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11111010011111001011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11111010011110001111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11111010011101001111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111110010111111100"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111110010111111010"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111110010110111110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111110010101111110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01111110010111011101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01111110010111011011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01111110010110011111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01111110010101011111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11110011011111101001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11110011011101101101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11110011011110101011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11110011011100101111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11011011011111101100"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11011011011111101010"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11011011011110101110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11011011011101101110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11011011011111001101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11011011011111001011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11011011011110001111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11011011011101001111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01110111010111111001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01110111010101111101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01110111010110111011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01110111010100111111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01011111010111111100"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01011111010111111010"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01011111010110111110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01011111010101111110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01011111010111011101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01011111010111011011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01011111010110011111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01011111010101011111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11110010111111101001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11110010111101101101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11110010111110101011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11110010111100101111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11101010111111101100"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11101010111111101010"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11101010111110101110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11101010111101101110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11101010111111001101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11101010111111001011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11101010111110001111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11101010111101001111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01110110110111111001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01110110110101111101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01110110110110111011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01110110110100111111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01101110110111111100"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01101110110111111010"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01101110110110111110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01101110110101111110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01101110110111011101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01101110110111011011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01101110110110011111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01101110110101011111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11100011111111101001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11100011111101101101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11100011111110101011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11100011111100101111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11010011111111101001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11010011111101101101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11010011111110101011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11010011111100101111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11001011111111101100"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11001011111111101010"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11001011111110101110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11001011111101101110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11001011111111001101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11001011111111001011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11001011111110001111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["11001011111101001111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01100111110111111001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01100111110101111101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01100111110110111011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01100111110100111111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01010111110111111001"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01010111110101111101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01010111110110111011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01010111110100111111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01001111110111111100"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01001111110111111010"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01001111110110111110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01001111110101111110"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2877311273939510  );
//   _cmap["01001111110111011101"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01001111110111011011"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01001111110110011111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["01001111110101011111"] = std::pair<double,double>(      0.0000530743550000 / 56.0,     0.2899015164641330  );
//   _cmap["11111011000111111001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111011000101111101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111011000110111011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111011000100111111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01111111001111101001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111111001101101101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111111001110101011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111111001100101111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11111010100111111001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111010100101111101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111010100110111011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111010100100111111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01111110101111101001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111110101101101101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111110101110101011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111110101100101111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11101011100111111001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11101011100101111101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11101011100110111011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11101011100100111111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11011011100111111001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11011011100101111101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11011011100110111011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11011011100100111111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01101111101111101001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01101111101101101101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01101111101110101011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01101111101100101111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01011111101111101001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01011111101101101101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01011111101110101011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01011111101100101111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11111010010111111100"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11111010010111111010"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11111010010110111110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11111010010101111110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11111010010111011101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111010010111011011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111010010110011111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11111010010101011111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01111110011111101100"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01111110011111101010"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01111110011110101110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01111110011101101110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01111110011111001101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111110011111001011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111110011110001111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01111110011101001111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11110011010111111001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11110011010101111101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11110011010110111011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11110011010100111111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11011011010111111100"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11011011010111111010"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11011011010110111110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11011011010101111110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11011011010111011101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11011011010111011011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11011011010110011111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11011011010101011111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01110111011111101001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01110111011101101101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01110111011110101011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01110111011100101111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01011111011111101100"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01011111011111101010"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01011111011110101110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01011111011101101110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01011111011111001101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01011111011111001011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01011111011110001111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01011111011101001111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11110010110111111001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11110010110101111101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11110010110110111011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11110010110100111111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11101010110111111100"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11101010110111111010"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11101010110110111110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11101010110101111110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11101010110111011101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11101010110111011011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11101010110110011111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11101010110101011111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01110110111111101001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01110110111101101101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01110110111110101011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01110110111100101111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01101110111111101100"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01101110111111101010"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01101110111110101110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01101110111101101110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01101110111111001101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01101110111111001011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01101110111110001111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01101110111101001111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11100011110111111001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11100011110101111101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11100011110110111011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11100011110100111111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11010011110111111001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11010011110101111101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11010011110110111011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11010011110100111111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11001011110111111100"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11001011110111111010"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11001011110110111110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11001011110101111110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11001011110111011101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11001011110111011011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11001011110110011111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["11001011110101011111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01100111111111101001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01100111111101101101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01100111111110101011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01100111111100101111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01010111111111101001"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01010111111101101101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01010111111110101011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01010111111100101111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01001111111111101100"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01001111111111101010"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01001111111110101110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01001111111101101110"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2898987762060240  );
//   _cmap["01001111111111001101"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01001111111111001011"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01001111111110001111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["01001111111101001111"] = std::pair<double,double>(      0.0000530740840000 / 56.0,     0.2877304863114890  );
//   _cmap["11111010011111100101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111010011011101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11111010011111100011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111010011011101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11111010011110100111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111010011101100111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111010011010101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11111010011001101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111110010111110101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111110010011111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01111110010111110011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111110010011111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01111110010110110111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111110010101110111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111110010010111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01111110010001111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111001011111101001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111001011101101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111001011110101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111001011100101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01111101010111111001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111101010101111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111101010110111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111101010100111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11011011011111100101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11011011011011101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11011011011111100011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11011011011011101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11011011011110100111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11011011011101100111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11011011011010101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11011011011001101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10111011011111101001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10111011011101101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10111011011110101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10111011011100101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011111010111110101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011111010011111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01011111010111110011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011111010011111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01011111010110110111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011111010101110111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011111010010111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01011111010001111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00111111010111111001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00111111010101111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00111111010110111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00111111010100111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111000111111101001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111000111101101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111000111110101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111000111100101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01111100110111111001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111100110101111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111100110110111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01111100110100111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11101010111111100101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11101010111011101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11101010111111100011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11101010111011101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11101010111110100111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11101010111101100111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11101010111010101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11101010111001101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10111010111111101001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10111010111101101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10111010111110101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10111010111100101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01101110110111110101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01101110110011111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01101110110111110011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01101110110011111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01101110110110110111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01101110110101110111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01101110110010111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01101110110001111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00111110110111111001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00111110110101111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00111110110110111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00111110110100111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11101001111111101001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11101001111101101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11101001111110101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11101001111100101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11011001111111101001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11011001111101101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11011001111110101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11011001111100101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01101101110111111001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01101101110101111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01101101110110111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01101101110100111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011101110111111001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011101110101111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011101110110111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01011101110100111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11001011111111100101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11001011111011101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11001011111111100011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11001011111011101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11001011111110100111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11001011111101100111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11001011111010101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["11001011111001101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10101011111111101001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10101011111101101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10101011111110101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10101011111100101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10011011111111101001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10011011111101101101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10011011111110101011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["10011011111100101111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01001111110111110101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01001111110011111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01001111110111110011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01001111110011111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01001111110110110111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01001111110101110111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3082491932640240  );
//   _cmap["01001111110010111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["01001111110001111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00101111110111111001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00101111110101111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00101111110110111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00101111110100111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00011111110111111001"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00011111110101111101"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00011111110110111011"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["00011111110100111111"] = std::pair<double,double>(      0.0000294992240000 / 56.0,     0.3461878183610600  );
//   _cmap["11111010010111110101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11111010010011111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111010010111110011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11111010010011111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111010010110110111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11111010010101110111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11111010010010111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111010010001111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01111110011111100101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01111110011011101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111110011111100011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01111110011011101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111110011110100111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01111110011101100111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01111110011010101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111110011001101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11111001010111111001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111001010101111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111001010110111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111001010100111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01111101011111101001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111101011101101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111101011110101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111101011100101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11011011010111110101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11011011010011111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11011011010111110011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11011011010011111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11011011010110110111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11011011010101110111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11011011010010111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11011011010001111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["10111011010111111001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10111011010101111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10111011010110111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10111011010100111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01011111011111100101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01011111011011101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01011111011111100011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01011111011011101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01011111011110100111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01011111011101100111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01011111011010101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01011111011001101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["00111111011111101001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00111111011101101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00111111011110101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00111111011100101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111000110111111001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111000110101111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111000110110111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111000110100111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01111100111111101001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111100111101101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111100111110101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01111100111100101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11101010110111110101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11101010110011111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11101010110111110011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11101010110011111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11101010110110110111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11101010110101110111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11101010110010111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11101010110001111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["10111010110111111001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10111010110101111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10111010110110111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10111010110100111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01101110111111100101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01101110111011101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01101110111111100011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01101110111011101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01101110111110100111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01101110111101100111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01101110111010101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01101110111001101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["00111110111111101001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00111110111101101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00111110111110101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00111110111100101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11101001110111111001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11101001110101111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11101001110110111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11101001110100111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11011001110111111001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11011001110101111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11011001110110111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11011001110100111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01101101111111101001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01101101111101101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01101101111110101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01101101111100101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01011101111111101001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01011101111101101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01011101111110101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01011101111100101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11001011110111110101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11001011110011111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11001011110111110011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11001011110011111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11001011110110110111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11001011110101110111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["11001011110010111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11001011110001111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["10101011110111111001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10101011110101111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10101011110110111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10101011110100111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10011011110111111001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10011011110101111101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10011011110110111011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["10011011110100111111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01001111111111100101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01001111111011101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01001111111111100011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01001111111011101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01001111111110100111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01001111111101100111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["01001111111010101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["01001111111001101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3082254478630050  );
//   _cmap["00101111111111101001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00101111111101101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00101111111110101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00101111111100101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00011111111111101001"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00011111111101101101"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00011111111110101011"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["00011111111100101111"] = std::pair<double,double>(      0.0000294989530000 / 56.0,     0.3461416410238100  );
//   _cmap["11111010011110101101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11111010011101101011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01111110010110111101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01111110010101111011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11101011011111101001"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11101011011101101101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11101011011110101011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11101011011100101111"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11011011011110101101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11011011011101101011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01101111010111111001"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01101111010101111101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01101111010110111011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01101111010100111111"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01011111010110111101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01011111010101111011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11101010111110101101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11101010111101101011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11011010111111101001"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11011010111101101101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11011010111110101011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11011010111100101111"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01101110110110111101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01101110110101111011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01011110110111111001"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01011110110101111101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01011110110110111011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01011110110100111111"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11001011111110101101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11001011111101101011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01001111110110111101"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["01001111110101111011"] = std::pair<double,double>(      0.0000004268640000 / 56.0,     0.5314479553156810  );
//   _cmap["11111010010111101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11111010010111101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11111010010110101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11111010010101101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111110010111101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111110010111101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111110010110101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111110010101101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11011011010111101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11011011010111101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11011011010110101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11011011010101101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111011011111101001"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111011010111111001"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111011011101101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111011010101111101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111011011110101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111011010110111011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111011011100101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111011010100111111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011111010111101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011111010111101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011111010110101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011111010101101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11101010110111101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11101010110111101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11101010110110101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11101010110101101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111010111111101001"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111010110111111001"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111010111101101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111010110101111101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111010111110101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111010110110111011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111010111100101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01111010110100111111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101110110111101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101110110111101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101110110110101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101110110101101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11001011110111101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11001011110111101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11001011110110101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11001011110101101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101011111111101001"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101011110111111001"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101011111101101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101011110101111101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101011111110101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101011110110111011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101011111100101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01101011110100111111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011011111111101001"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011011110111111001"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011011111101101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011011110101111101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011011111110101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011011110110111011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011011111100101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01011011110100111111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01001111110111101101"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01001111110111101011"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01001111110110101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["01001111110101101111"] = std::pair<double,double>(      0.0000004265930000 / 56.0,     0.2847304104822650  );
//   _cmap["11111010010110111101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11111010010101111011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01111110011110101101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01111110011101101011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11101011010111111001"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11101011010101111101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11101011010110111011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11101011010100111111"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11011011010110111101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11011011010101111011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01101111011111101001"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01101111011101101101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01101111011110101011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01101111011100101111"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01011111011110101101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01011111011101101011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11101010110110111101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11101010110101111011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11011010110111111001"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11011010110101111101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11011010110110111011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11011010110100111111"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01101110111110101101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01101110111101101011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01011110111111101001"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01011110111101101101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01011110111110101011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01011110111100101111"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11001011110110111101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11001011110101111011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01001111111110101101"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["01001111111101101011"] = std::pair<double,double>(      0.0000004263220000 / 56.0,     0.5314668255400270  );
//   _cmap["11101110011110111001"] = std::pair<double,double>(      0.0000000000030000 / 56.0,     0.0000000000000000  );
//   _cmap["11101110011100111101"] = std::pair<double,double>(      0.0000000000030000 / 56.0,     0.0000000000000000  );
//   _cmap["11011110011101111001"] = std::pair<double,double>(      0.0000000000030000 / 56.0,     0.0000000000000000  );
//   _cmap["11011110011100111011"] = std::pair<double,double>(      0.0000000000030000 / 56.0,     0.0000000000000000  );
//   _cmap["11001111011110111001"] = std::pair<double,double>(      0.0000000000030000 / 56.0,     0.0000000000000000  );
//   _cmap["11001111011100111101"] = std::pair<double,double>(      0.0000000000030000 / 56.0,     0.0000000000000000  );
//   _cmap["11001110111101111001"] = std::pair<double,double>(      0.0000000000030000 / 56.0,     0.0000000000000000  );
//   _cmap["11001110111100111011"] = std::pair<double,double>(      0.0000000000030000 / 56.0,     0.0000000000000000  );
//   _cmap["11101110011101111001"] = std::pair<double,double>(      0.0000000000010000 / 56.0,     0.0000000000000000  );
//   _cmap["11101110011100111011"] = std::pair<double,double>(      0.0000000000010000 / 56.0,     0.0000000000000000  );
//   _cmap["11011110011110111001"] = std::pair<double,double>(      0.0000000000010000 / 56.0,     0.0000000000000000  );
//   _cmap["11011110011100111101"] = std::pair<double,double>(      0.0000000000010000 / 56.0,     0.0000000000000000  );
//   _cmap["11001111011101111001"] = std::pair<double,double>(      0.0000000000010000 / 56.0,     0.0000000000000000  );
//   _cmap["11001111011100111011"] = std::pair<double,double>(      0.0000000000010000 / 56.0,     0.0000000000000000  );
//   _cmap["11001110111110111001"] = std::pair<double,double>(      0.0000000000010000 / 56.0,     0.0000000000000000  );
//   _cmap["11001110111100111101"] = std::pair<double,double>(      0.0000000000010000 / 56.0,     0.0000000000000000  );

}

template void pcps::RestPairingFunc<double>::init_correct_map();
template void pcps::RestPairingFunc<std::complex<double> >::init_correct_map();
